# Chai Wah Wu

## contact information

Principal Research Staff Member

Thomas J. Watson Research Center, Yorktown Heights, NY USA

+19149451567

Thomas J. Watson Research Center, Yorktown Heights, NY USA

+19149451567

## links

### Professional Associations

**Professional Associations:**American Mathematical Society (AMS) | IEEE | IEEE Circuits and System Society | IEEE Mid-Hudson Section | INFORMS

### more information

**More information:**Github | Identical Synchronization | Generalized Pigeonhole Principle | Accidental Desultory Cogitations | The triangle inequality and its converse | IBM Research Blog entry on Reinforcement Learning | A number a day to brighten your day | EEWeb interview | Find properties of integers | chwwutube | First IBM Research Workshop on the Informational Lens | CNNA 2010 | CNNA 2012 | CNNA 2021 | Call for papers: Cellular wave computing via nanoscale chip architectures | AMS Special Session on Mathematics through the Informational Lens

**2021**

On generalizations of Schur's inequality on sums of products of differences of real numbers

Chai Wah Wu

Abstract schur s inequality, real number, generalization, linear algebra, pure mathematics, canonical normal form, inequality, mathematics

Chai Wah Wu

*Linear & Multilinear Algebra*, 1-17, Taylor & Francis, 2021Abstract schur s inequality, real number, generalization, linear algebra, pure mathematics, canonical normal form, inequality, mathematics

Dither computing: a hybrid deterministic-stochastic computing framework

Chai Wah Wu

Abstract stochastic computing, rounding, order, bias of an estimator, arbitrary precision arithmetic, estimator, real number, dither, applied mathematics, computer science

Chai Wah Wu

*in Proceedings of 28th IEEE Symposium on Computer Arithmetic (ARITH)*, 2021Abstract stochastic computing, rounding, order, bias of an estimator, arbitrary precision arithmetic, estimator, real number, dither, applied mathematics, computer science

Solving Sparse Linear Systems with Approximate Inverse Preconditioners on Analog Devices

Vassilis Kalantzis, Anshul Gupta, Lior Horesh, Thomas Nowicki, M. S. Squillante, Chai W. Wu, Tayfun Gokmen, Haim Avron

Vassilis Kalantzis, Anshul Gupta, Lior Horesh, Thomas Nowicki, M. S. Squillante, Chai W. Wu, Tayfun Gokmen, Haim Avron

*In Proceedings of the 2021 IEEE High Performance Extreme Computing Conference (HPEC 2021)*
Synchronization in Dynamical Systems Coupled via Multiple Directed Networks

Chai Wah Wu

Abstract directed graph, graph, topological graph theory, dynamical systems theory, synchronization, topology, coupling, symmetric matrix, computer science

Chai Wah Wu

*IEEE Transactions on Circuits and Systems II-express Briefs**68*(*5*), 1660-1664, Institute of Electrical and Electronics Engineers (IEEE), 2021Abstract directed graph, graph, topological graph theory, dynamical systems theory, synchronization, topology, coupling, symmetric matrix, computer science

DeepTune: Robust Global Optimization of Electronic Circuit Design Via Neuro-Symbolic Optimization

Chai Wah Wu, Ann Chen Wu, James Strom

Abstract global optimization, circuit design, electronic circuit design, robust optimization, electronic circuit, process corners, artificial neural network, phase margin, control theory, computer science

Chai Wah Wu, Ann Chen Wu, James Strom

*2021 IEEE International Symposium on Circuits and Systems (ISCAS)*,*pp. 1-5*, IEEEAbstract global optimization, circuit design, electronic circuit design, robust optimization, electronic circuit, process corners, artificial neural network, phase margin, control theory, computer science

Experimental Evaluation of Active Learning of a Two Qubit Cross-Resonance Hamiltonian

Arkopal Dutt, Edwin Pednault, Chai Wu, Sarah Sheldon, John Smolin, Lev Bishop, Isaac Chuang

hamiltonian, resonance, qubit, active learning, quantum mechanics, physics

Arkopal Dutt, Edwin Pednault, Chai Wu, Sarah Sheldon, John Smolin, Lev Bishop, Isaac Chuang

*Bulletin of the American Physical Society*, American Physical Society, 2021hamiltonian, resonance, qubit, active learning, quantum mechanics, physics

**2020**

Simplifying Neural Networks via Look up Tables and Product of Sums Matrix Factorizations

Chai Wah Wu

Abstract mnist database, deep learning, artificial neural network, linear classifier, lookup table, multiplication, memory footprint, image processing, algorithm, computer science, artificial intelligence

Chai Wah Wu

*2020 IEEE International Symposium on Circuits and Systems (ISCAS)*,*pp. 1-11*, IEEEAbstract mnist database, deep learning, artificial neural network, linear classifier, lookup table, multiplication, memory footprint, image processing, algorithm, computer science, artificial intelligence

Decentralized stochastic non-convex optimization over weakly connected time-varying digraphs

Songtao Lu*, Chai Wah Wu*

Songtao Lu*, Chai Wah Wu*

*IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)*, 2020**2019**

TableNet: a multiplier-less implementation of neural networks for inferencing

Chai Wah Wu

Abstract small number, multiplier, memory footprint, matrix multiplication, mathematics, machine learning, lookup table, deep learning, artificial neural network, artificial intelligence, arithmetic

Chai Wah Wu

*arXiv: Learning*, 2019Abstract small number, multiplier, memory footprint, matrix multiplication, mathematics, machine learning, lookup table, deep learning, artificial neural network, artificial intelligence, arithmetic

A Control-Model-Based Approach for Reinforcement Learning

Yingdong Lu, Mark S. Squillante, Chai Wah Wu

Abstract reinforcement learning, optimal control, nonlinear system, mathematics, machine learning, dynamical system, artificial intelligence

Yingdong Lu, Mark S. Squillante, Chai Wah Wu

*arXiv preprint arXiv:1905.12009*, 2019Abstract reinforcement learning, optimal control, nonlinear system, mathematics, machine learning, dynamical system, artificial intelligence

A Family of Robust Stochastic Operators for Reinforcement Learning

Yingdong Lu, Mark Squillante, Chai Wah Wu

Abstract reinforcement learning, operator, mathematical optimization, computer science

Yingdong Lu, Mark Squillante, Chai Wah Wu

*NeurIPS 2019 : Thirty-third Conference on Neural Information Processing Systems*,*pp. 15626-15636*Abstract reinforcement learning, operator, mathematical optimization, computer science

**2018**

ProdSumNet: reducing model parameters in deep neural networks via product-of-sums matrix decompositions

Chai Wah Wu

Abstract word error rate, small number, operator, matrix, mathematics, machine learning, mnist database, deep learning, artificial neural network, artificial intelligence, architecture

Chai Wah Wu

*arXiv preprint arXiv:1809.02209*, 2018Abstract word error rate, small number, operator, matrix, mathematics, machine learning, mnist database, deep learning, artificial neural network, artificial intelligence, architecture

Can machine learning identify interesting mathematics? An exploration using empirically observed laws

Chai Wah Wu

Abstract nice, multiplicative function, mathematics, mathematical structure, machine learning, law, integer sequence, benford s law, artificial intelligence

Chai Wah Wu

*arXiv preprint arXiv:1805.07431*, 2018Abstract nice, multiplicative function, mathematics, mathematical structure, machine learning, law, integer sequence, benford s law, artificial intelligence

Designing communication systems via iterative improvement: error correction coding with Bayes decoder and codebook optimized for source symbol error

Chai Wah Wu

Abstract pattern recognition, mathematics, linear code, hamming code, estimator, error detection and correction, decoding methods, codebook, bit error rate, bayes theorem, artificial intelligence

Chai Wah Wu

*arXiv preprint arXiv:1805.07429*, 2018Abstract pattern recognition, mathematics, linear code, hamming code, estimator, error detection and correction, decoding methods, codebook, bit error rate, bayes theorem, artificial intelligence

Record values in appending and prepending bitstrings to runs of binary digits

Chai Wah Wu

Abstract strings, mathematics, integer, discrete mathematics, binary number, algebra

Chai Wah Wu

*arXiv preprint arXiv:1810.02293*, 2018Abstract strings, mathematics, integer, discrete mathematics, binary number, algebra

A General Family of Robust Stochastic Operators for Reinforcement Learning

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah

Abstract

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah

*arXiv preprint arXiv:1805.08122*, 2018Abstract

Understanding Unequal Gender Classification Accuracy from Face Images

Vidya Muthukumar, Tejaswini Pedapati, Nalini Ratha, Prasanna Sattigeri, Chai-Wah Wu, Brian Kingsbury, Abhishek Kumar, Samuel Thomas, Aleksandra Mojsilovic, Kush R. Varshney

Abstract suspect, stereotype, pattern recognition, luminance, computer science, cognitive psychology, cheek structure, artificial neural network, artificial intelligence

Vidya Muthukumar, Tejaswini Pedapati, Nalini Ratha, Prasanna Sattigeri, Chai-Wah Wu, Brian Kingsbury, Abhishek Kumar, Samuel Thomas, Aleksandra Mojsilovic, Kush R. Varshney

*arXiv preprint arXiv:1812.00099*, 2018Abstract suspect, stereotype, pattern recognition, luminance, computer science, cognitive psychology, cheek structure, artificial neural network, artificial intelligence

Epidemic-Like Stochastic Processes with Time-Varying Behavior: Structural Properties and Asymptotic Limits

Lu, Yingdong and Squillante, Mark S and Wah Wu, Chai

Abstract

Lu, Yingdong and Squillante, Mark S and Wah Wu, Chai

*ACM SIGMETRICS Performance Evaluation Review**45*(*2*), 160--166, ACM, 2018Abstract

**2017**

On the control of density-dependent stochastic population processes with time-varying behavior

Lu, Yingdong and Squillante, Mark and Wu, Chai Wah

Abstract

Lu, Yingdong and Squillante, Mark and Wu, Chai Wah

*arXiv preprint arXiv:1709.07988*, 2017Abstract

Control of Time-Varying Epidemic-Like Stochastic Processes and Their Mean-Field Limits

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah

Abstract

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah

*arXiv preprint arXiv:1709.10345*, 2017Abstract

On Optimal Portfolios of Dynamic Resource Allocations

Lu, Yingdong and Maguluri, Siva Theja and Squillante, Mark S and Wu, Chai Wah

Abstract

Lu, Yingdong and Maguluri, Siva Theja and Squillante, Mark S and Wu, Chai Wah

*arXiv preprint arXiv:1702.07781*, 2017Abstract

**2016**

A Simple Proof of a Generalized Cauchy-Binet Theorem

Alan J. Hoffman, Chai Wah Wu

Abstract proofs of fermat s little theorem, proof of impossibility, picard lindelof theorem, mathematics, mathematical analysis, factor theorem, elementary proof, danskin s theorem, carlson s theorem, analytic proof

Alan J. Hoffman, Chai Wah Wu

*American Mathematical Monthly**123*(*9*), 2016Abstract proofs of fermat s little theorem, proof of impossibility, picard lindelof theorem, mathematics, mathematical analysis, factor theorem, elementary proof, danskin s theorem, carlson s theorem, analytic proof

Gersgorin variations IV: A left eigenvector approach

Alan J. Hoffman, Chai Wah Wu

Abstract singularity, matrix, mathematics, mathematical proof, mathematical analysis, generalized eigenvector, generalization, eigenvalues and eigenvectors, combinatorics

Alan J. Hoffman, Chai Wah Wu

*Linear Algebra and its Applications**498*, 136-144, 2016Abstract singularity, matrix, mathematics, mathematical proof, mathematical analysis, generalized eigenvector, generalization, eigenvalues and eigenvectors, combinatorics

Minimal number of points on a grid forming patterns of blocks

Wu, Chai Wah

Abstract

Wu, Chai Wah

*arXiv preprint arXiv:1608.07247*, 2016Abstract

Graph comparison and synchronization in complex networks

Liu, Hui and Cao, Ming and Wu, Chai Wah

Liu, Hui and Cao, Ming and Wu, Chai Wah

*Oscillator Circuits: Frontiers in Design, Analysis and Applications**32*, 183, IET, 2016
Counting the number of isosceles triangles in rectangular regular grids

Wu, Chai Wah

Abstract

Wu, Chai Wah

*arXiv preprint arXiv:1605.00180*, 2016Abstract

Sums of products of binomial coefficients mod 2 and run length transforms of sequences

Wu, Chai Wah

Abstract

Wu, Chai Wah

*arXiv preprint arXiv:1610.06166*, 2016Abstract

A Simple Proof of a Generalized Cauchy--Binet Theorem

Hoffman, Alan J and Wu, Chai Wah

Abstract

Hoffman, Alan J and Wu, Chai Wah

*American Mathematical Monthly**123*(*9*), 928--930, Mathematical Association of America, 2016Abstract

Ger{\v{s}}gorin variations IV: A left eigenvector approach

Hoffman, Alan J and Wu, Chai Wah

Abstract

Hoffman, Alan J and Wu, Chai Wah

*Linear Algebra and its Applications**498*, 136--144, Elsevier, 2016Abstract

Control localization in networks of dynamical systems connected via a weighted tree

Bapat, Ravindra and Wu, Chai Wah

Abstract

Bapat, Ravindra and Wu, Chai Wah

*IEEE Transactions on Systems, Man, and Cybernetics: Systems*, IEEE, 2016Abstract

Risk-Based Dynamic Allocation of Computing Resources

Lu, Yingdong and Maguluri, Siva Theja and Squillante, Mark S and Wu, Chai Wah

Abstract

Lu, Yingdong and Maguluri, Siva Theja and Squillante, Mark S and Wu, Chai Wah

*ACM SIGMETRICS Performance Evaluation Review**44*(*2*), 27--29, ACM, 2016Abstract

**2015**

On a conjecture regarding primality of numbers constructed from prepending and appending identical digits

Wu, Chai Wah

Abstract

Wu, Chai Wah

*arXiv preprint arXiv:1503.08883*, 2015Abstract

Permutations $ r\_j $ such that $$\backslash$sum\_ $\{$i= 1$\}$\^{} n$\backslash$prod\_ $\{$j= 1$\}$\^{} k r\_j (i) $ is maximized or minimized

Wu, Chai Wah

Abstract

Wu, Chai Wah

*arXiv preprint arXiv:1508.02934*, 2015Abstract

Synchronization in directed complex networks using graph comparison tools

Liu, Hui and Cao, Ming and Wu, Chai Wah and Lu, Jun-An and Chi, K Tse

Abstract

Liu, Hui and Cao, Ming and Wu, Chai Wah and Lu, Jun-An and Chi, K Tse

*IEEE Transactions on Circuits and Systems I: Regular Papers**62*(*4*), 1185--1194, IEEE, 2015Abstract

On the Control of Epidemic-Like Stochastic Processes with Time-Varying Behavior?

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah and Zhang, Bo

Abstract

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah and Zhang, Bo

*ACM SIGMETRICS Performance Evaluation Review**43*(*2*), 78--80, ACM, 2015Abstract

**2014**

A Riesz energy based approach to generating dispersed dot patterns for halftoning applications

Chai Wah Wu, Barry M. Trager, Kartheek Chandu, Mikel Stanich

Abstract theoretical computer science, physics, nonlinear programming, mathematical optimization, implementation, hessian matrix, energy minimization, digital printing, computer programming, computer data storage, binary search algorithm

Chai Wah Wu, Barry M. Trager, Kartheek Chandu, Mikel Stanich

*Color Imaging XIX: Displaying, Processing, Hardcopy, and Applications**9015*, 2014Abstract theoretical computer science, physics, nonlinear programming, mathematical optimization, implementation, hessian matrix, energy minimization, digital printing, computer programming, computer data storage, binary search algorithm

Hybrid halftoning using direct multi-bit search (DMS) screen algorithm.

Chandu, Kartheek and Stanich, Mikel and Wu, Chai Wah and Trager, Barry M

Abstract

Chandu, Kartheek and Stanich, Mikel and Wu, Chai Wah and Trager, Barry M

*Color Imaging: Displaying, Processing, Hardcopy, and Applications*,*pp. 90150P*, 2014Abstract

A Riesz energy based approach to generating dispersed dot patterns for halftoning applications.

Wu, Chai Wah and Trager, Barry M and Chandu, Kartheek and Stanich, Mikel

Abstract

Wu, Chai Wah and Trager, Barry M and Chandu, Kartheek and Stanich, Mikel

*Color Imaging: Displaying, Processing, Hardcopy, and Applications*,*pp. 90150Q*, 2014Abstract

Graphs whose normalized Laplacian matrices are separable as density matrices in quantum mechanics

Chai Wah Wu

Chai Wah Wu

*arXiv preprint arXiv:1407.5663*, 2014
Pigeonholes and Repunits

Chai Wah Wu

Chai Wah Wu

*The American Mathematical Monthly**121*(*6*), 529--533, JSTOR, 2014
Hybrid halftoning using direct multi-bit search (DMS) screen algorithm

Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry Trager

Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry Trager

*IS\&T/SPIE Electronic Imaging*,*pp. 90150P--90150P*, 2014**2013**

Proc. of the 2013 IEEE International Symposium on Circuits and Systems, Beijing China

Hui Liu, Ming Cao, Chai Wah Wu

2013

geography, engineering physics, china, beijing

Hui Liu, Ming Cao, Chai Wah Wu

2013

geography, engineering physics, china, beijing

Proc. of the 2013 European Control Conference, Zurich, Switzerland

Hui Liu, Ming Cao, Chai Wah Wu

2013

Hui Liu, Ming Cao, Chai Wah Wu

2013

NONLINEAR ELECTRONICS LABORATORY (NOEL): A REMINISCENCE

Wu, Chai Wah

Abstract

Wu, Chai Wah

*Chaos, CNN, Memristors and Beyond: A Festschrift for Leon Chua (With DVD-ROM, Composed by Eleonora Bilotta). Edited by Adamatzky Andrew et al. Published by World Scientific Publishing Co. Pte. Ltd., 2013. ISBN# 9789814434805, pp. 124-134*,*pp. 124--134*Abstract

Direct binary search (DBS) algorithm with constraints.

Chandu, Kartheek and Stanich, Mikel and Wu, Chai Wah and Trager, Barry M

Abstract

Chandu, Kartheek and Stanich, Mikel and Wu, Chai Wah and Trager, Barry M

*Color Imaging: Displaying, Processing, Hardcopy, and Applications*,*pp. 86520K*, 2013Abstract

A GPU based implementation of direct multi-bit search (DMS) screen algorithm.

Trager, Barry M and Chandu, Kartheek and Wu, Chai Wah and Stanich, Mikel

Abstract

Trager, Barry M and Chandu, Kartheek and Wu, Chai Wah and Stanich, Mikel

*Image Processing: Algorithms and Systems*,*pp. 86550Z*, 2013Abstract

Coupling strength allocation for synchronization in complex networks using spectral graph theory

Hui Liu, Ming Cao, Chai Wah Wu

2013 - ieeexplore.ieee.org, IEEE

Hui Liu, Ming Cao, Chai Wah Wu

2013 - ieeexplore.ieee.org, IEEE

Nonlinear Electronics Laboratory (noel):. a Reminiscence

Chai Wah Wu

Chai Wah Wu

*Chaos, CNN, Memristors and Beyond: A Festschrift for Leon Chua (With DVD-ROM, Composed by Eleonora Bilotta). Edited by Adamatzky Andrew et al. Published by World Scientific Publishing Co. Pte. Ltd., 2013. ISBN\# 9789814434805, pp. 124-134*,*pp. 124--134*
New spectral graph theoretic conditions for synchronization in directed complex networks

Hui Liu, Ming Cao, Chai Wah Wu

Hui Liu, Ming Cao, Chai Wah Wu

*Circuits and Systems (ISCAS), 2013 IEEE International Symposium on*,*pp. 2307--2310*
Graph comparison and its application in network synchronization

Hui Liu, Ming Cao, Chai Wah Wu

Hui Liu, Ming Cao, Chai Wah Wu

*European Control Conference*, 2013
Control of Networks of Coupled Dynamical Systems

Chai Wah Wu

Chai Wah Wu

*Consensus and Synchronization in Complex Networks*,*pp. 23--50*, Springer, 2013
Direct binary search (DBS) algorithm with constraints

Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry Trager

Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry Trager

*IS\&T/SPIE Electronic Imaging*,*pp. 86520K--86520K*, 2013
A GPU based implementation of Direct Multi-bit Search (DMS) screen algorithm

Barry Trager, Kartheek Chandu, Chai Wah Wu, Mikel Stanich

Barry Trager, Kartheek Chandu, Chai Wah Wu, Mikel Stanich

*IS\&T/SPIE Electronic Imaging*,*pp. 86550Z--86550Z*, 2013**2012**

Contingency constrained optimal power flow solutions in complex network power grids

Baha Alzalg, Catalina Anghel, Wenying Gan, Qing Huang, Mustazee Rahman, Alex Shum, Chai Wah Wu

Abstract robustness, operating point, network topology, multi commodity flow problem, minimum cost flow problem, mathematics, mathematical optimization, control theory, contingency, complex network, ac power

Baha Alzalg, Catalina Anghel, Wenying Gan, Qing Huang, Mustazee Rahman, Alex Shum, Chai Wah Wu

*2012 IEEE International Symposium on Circuits and Systems*,*pp. 1636-1639*Abstract robustness, operating point, network topology, multi commodity flow problem, minimum cost flow problem, mathematics, mathematical optimization, control theory, contingency, complex network, ac power

A GPU implementation of color digital halftoning using the Direct Binary Search algorithm

Kartheek Chandu, Mikel Stanich, Barry Trager, Chai Wah Wu

Kartheek Chandu, Mikel Stanich, Barry Trager, Chai Wah Wu

*Circuits and Systems (ISCAS), 2012 IEEE International Symposium on*,*pp. 185--188*
Direct multi-bit search (DMS) screen algorithm

Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry Trager

Kartheek Chandu, Mikel Stanich, Chai Wah Wu, Barry Trager

*Image Processing (ICIP), 2012 19th IEEE International Conference on*,*pp. 817--820***2011**

The optimality of the online greedy algorithm in carpool and chairman assignment problems

Don Coppersmith, Tomasz Nowicki, Giuseppe Paleologo, Charles Tresser, Chai Wah Wu

Don Coppersmith, Tomasz Nowicki, Giuseppe Paleologo, Charles Tresser, Chai Wah Wu

*ACM Transactions on Algorithms (TALG)**7*(*3*), 37, ACM, 2011
Locally connected processor arrays for matrix multiplication and linear transforms

Chai Wah Wu

Chai Wah Wu

*Circuits and Systems (ISCAS), 2011 IEEE International Symposium on*,*pp. 2169--2172*
A Feasibility Study of Collaborative Stream Routing in Peer-to-Peer Multiparty Video Conferencing

Han Zhao, Daniel Smilkov, Paolo Dettori, Julio Nogima, Frank A Schaffa, Peter Westerink, Chai Wah Wu

Han Zhao, Daniel Smilkov, Paolo Dettori, Julio Nogima, Frank A Schaffa, Peter Westerink, Chai Wah Wu

*Multimedia (ISM), 2011 IEEE International Symposium on*,*pp. 233--240*
GPU-enabled parallel processing for image halftoning applications

B Trager, C W Wu, M Stanich, K Chandu

B Trager, C W Wu, M Stanich, K Chandu

*Proceedings of IEEE International Symposium on Circuits and Systems*,*pp. 1528--1531*, 2011
Can stubbornness or gullibility lead to faster consensus? A study of various strategies for reaching consensus in a model of the naming game

C W Wu

C W Wu

*Circuits and Systems (ISCAS), 2011 IEEE International Symposium on*,*pp. 2111--2114***2010**

On graphs whose Laplacian matrixs multipartite separability is invariant under graph isomorphism

Chai Wah Wu

Abstract universal graph, multipartite graph, mathematics, indifference graph, graph property, graph isomorphism, graph canonization, forbidden graph characterization, discrete mathematics, combinatorics, 1 planar graph

Chai Wah Wu

*Discrete Mathematics**310*(*21*), 2811-2814, 2010Abstract universal graph, multipartite graph, mathematics, indifference graph, graph property, graph isomorphism, graph canonization, forbidden graph characterization, discrete mathematics, combinatorics, 1 planar graph

Evolution and dynamics of complex networks of coupled systems

Chai Wah Wu

Chai Wah Wu

*Circuits and Systems Magazine, IEEE**10*(*3*), 55--63, IEEE, 2010
Non-intrusive adaptive multi-media routing in peer-to-peer multi-party video conferencing

Daniel Smilkov, Han Zhao, Paolo Dettori, Julio Nogima, Frank A Schaffa, Peter Westerink, Chai Wah Wu

Daniel Smilkov, Han Zhao, Paolo Dettori, Julio Nogima, Frank A Schaffa, Peter Westerink, Chai Wah Wu

*Multimedia (ISM), 2010 IEEE International Symposium on*,*pp. 105--112*
On control of networks of dynamical systems

Chai Wah Wu

Chai Wah Wu

*Circuits and Systems (ISCAS), Proceedings of 2010 IEEE International Symposium on*,*pp. 3785--3788*
On graphs whose Laplacian matrixâ€™s multipartite separability is invariant under graph isomorphism

Chai Wah Wu

Chai Wah Wu

*Discrete Mathematics**310*(*21*), 2811--2814, Elsevier, 2010
Incentivized peer-assisted streaming for on-demand services

C Liang, Z Fu, Y Liu, C W Wu

C Liang, Z Fu, Y Liu, C W Wu

*Parallel and Distributed Systems, IEEE Transactions on**21*(*9*), 1354--1367, IEEE, 2010**2009**

Performance study of peer-to-peer video streaming on complex networks

L. Chism, X. He, L. Huang, A. Ibrahim, C. Jones, Y. Shu, C.W. Wu, Z. Fu

L. Chism, X. He, L. Huang, A. Ibrahim, C. Jones, Y. Shu, C.W. Wu, Z. Fu

*Circuits and Systems, 2009. ISCAS 2009. IEEE International Symposium on*,*pp. 1613--1616*
More is more: the benefits of denser sensor deployment

M P Johnson, D Sarioz, A Bar-Noy, T Brown, D Verma, C W Wu

M P Johnson, D Sarioz, A Bar-Noy, T Brown, D Verma, C W Wu

*IEEE INFOCOM 2009*,*pp. 379--387*, ACM
ipass: Incentivized peer-assisted system for asynchronous streaming

Chao Liang, Zhenghua Fu, Yong Liu, Chai Wah Wu

Chao Liang, Zhenghua Fu, Yong Liu, Chai Wah Wu

*INFOCOM 2009, IEEE*,*pp. 2741--2745*
Multipartite separability of Laplacian matrices of graphs

C.W. Wu

C.W. Wu

*the electronic journal of combinatorics**16*(*R61*), 1, 2009**2008**

On the relationship between pinning control effectiveness and graph topology in complex networks of dynamical systems

C.W. Wu

C.W. Wu

*Chaos**18*(*3*), 37103, American Institute of Physics, 2008
Location dependent heuristics for sensor coverage planning

Dinesh Chandra Verma, Chai Wah Wu, Theodore Brown, Amotz Bar-Noy, Simon Shamoun, Mark Nixon

Dinesh Chandra Verma, Chai Wah Wu, Theodore Brown, Amotz Bar-Noy, Simon Shamoun, Mark Nixon

*SPIE Defense and Security Symposium*,*pp. 69810B--69810B*, 2008
On the relationship between pinning control effectiveness and graph topology in complex …

CW Wu

Chaos: An Interdisciplinary Journal of Nonlinear …, 2008 - link.aip.org

CW Wu

Chaos: An Interdisciplinary Journal of Nonlinear …, 2008 - link.aip.org

More is More: the Benefits of Dense Sensor Deployment

A Bar-Noy, T Brown, M P Johnson, D Sar{i}{"o}z, D Verma, C W Wu

A Bar-Noy, T Brown, M P Johnson, D Sar{i}{"o}z, D Verma, C W Wu

*5th IEEE International Conference on Mobile Ad Hoc and Sensor Systems, 2008*,*pp. 514--515*
PACTS: a service oriented architecture for real-time peer-assisted content delivery service

Z. Fu, C.W. Wu, J.J. Jeng, H. Lei

Z. Fu, C.W. Wu, J.J. Jeng, H. Lei

*Computer Software and Applications, 2008. COMPSAC'08. 32nd Annual IEEE International*,*pp. 1205--1210*
Localization of effective pinning control in complex networks of dynamical systems

C.W. Wu

C.W. Wu

*Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on*,*pp. 2530--2533*
On some properties of contracting matrices

C.W. Wu

C.W. Wu

*Linear Algebra and Its Applications**428*(*11*), 2509--2523, Elsevier, 2008
A sensor placement algorithm for redundant covering based on riesz energy minimization

C.W. Wu, D. Verma

C.W. Wu, D. Verma

*Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on*,*pp. 2074--2077*
Conditions for weak ergodicity of inhomogeneous markov chains

Don Coppersmith, Chai Wah Wu

Don Coppersmith, Chai Wah Wu

*Statistics \& Probability Letters**78*(*17*), 3082--3085, Elsevier, 2008**2007**

Synchronization in Networks of Coupled Discrete-time Systems

Chai Wah Wu

2007

synchronization networks, synchronization, distributed computing, discrete time and continuous time, computer science

Chai Wah Wu

2007

synchronization networks, synchronization, distributed computing, discrete time and continuous time, computer science

Synchronization in Network of Systems with Linear Dynamics

Chai Wah Wu

2007

synchronization of chaos, synchronization, control theory, computer science

Chai Wah Wu

2007

synchronization of chaos, synchronization, control theory, computer science

Graphs, Networks, Laplacian Matrices and Algebraic Connectivity

Chai Wah Wu

2007

matrix, mathematics, laplacian matrix, laplace operator, graph, combinatorics, algebraic connectivity

Chai Wah Wu

2007

matrix, mathematics, laplacian matrix, laplace operator, graph, combinatorics, algebraic connectivity

Synchronization in Networks of Nonlinear Continuous-time Dynamical Systems

Chai Wah Wu

2007

synchronization networks, synchronization, nonlinear system, mathematics, dynamical systems theory, control theory

Chai Wah Wu

2007

synchronization networks, synchronization, nonlinear system, mathematics, dynamical systems theory, control theory

On two approaches to analyzing consensus in complex networks

C.W. Wu

C.W. Wu

*Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on*,*pp. 2638--2641*
Topology design for fast convergence of network consensus algorithms

Ming Cao, Chai Wah Wu

Ming Cao, Chai Wah Wu

*Circuits and Systems, 2007. ISCAS 2007. IEEE International Symposium on*,*pp. 1029--1032*
Synchronization in complex networks of nonlinear dynamical systems

Chai Wah Wu

2007 - World Scientific, World Scientific

Chai Wah Wu

2007 - World Scientific, World Scientific

**2006**

The Optimality of the Greedy Algorithm in Carpool Problem

Chai Wah Wu

2006

mathematical optimization, greedy randomized adaptive search procedure, greedy algorithm, computer science, carpool

Chai Wah Wu

2006

mathematical optimization, greedy randomized adaptive search procedure, greedy algorithm, computer science, carpool

Comparative study of search strategies for the direct binary search image halftoning algorithm

Sagar Bhatt, John Sabino, John Harlim, Joel Lepak, Robert Ronkese, Chai Wah Wu

2006

Abstract machine learning, error diffusion, dither, computer vision, computer science, binary search algorithm, artificial intelligence, algorithm

Sagar Bhatt, John Sabino, John Harlim, Joel Lepak, Robert Ronkese, Chai Wah Wu

2006

Abstract machine learning, error diffusion, dither, computer vision, computer science, binary search algorithm, artificial intelligence, algorithm

Fast Error Diffusion and Digital Halftoning Algorithms Using Look-Up Tables

C W Wu, M Stanich, H Li, Y Qiao, L Ernst, others

C W Wu, M Stanich, H Li, Y Qiao, L Ernst, others

*INTERNATIONAL CONFERENCE ON DIGITAL PRINTING TECHNOLOGIES*,*pp. 240*, 2006
Algorithms for the Carpool Problem

J.P. Boavida, V. Kamat, D. Nakum, R. Nong, C.W. Wu, X. Zhang

J.P. Boavida, V. Kamat, D. Nakum, R. Nong, C.W. Wu, X. Zhang

*IMA Preprint Series*, 2133--6, Citeseer, 2006
On a matrix inequality and its application to the synchronization in coupled chaotic systems

C Wu

C Wu

*Complex Computing-Networks**104*, 279--287, Springer, 2006
Conditions for separability in generalized Laplacian matrices and diagonally dominant matrices as density matrices

Chai Wah Wu

Chai Wah Wu

*Physics Letters A**351*(*1*), 18--22, Elsevier, 2006
Synchronization and convergence of linear dynamics in random directed networks

Chai Wah Wu

Chai Wah Wu

*Automatic Control, IEEE Transactions on**51*(*7*), 1207--1210, IEEE, 2006**2005**

Synchronization in Arrays of Coupled Nonlinear Systems With Delay and Nonreciprocal

Time-Varying Coupling, Chai Wah Wu

2005

synchronization, nonlinear system, mathematics, control theory

Time-Varying Coupling, Chai Wah Wu

2005

synchronization, nonlinear system, mathematics, control theory

Verfahren und vorrichtungen zum erzeugen einer dither-maske durch interpolation zwischen bevorzugten mustern

Mikel John Stanich, Gerhard Robert Thompson, Charles P. Tresser, Chai Wah Wu

2005

mathematics, interpolation, dither, control theory

Mikel John Stanich, Gerhard Robert Thompson, Charles P. Tresser, Chai Wah Wu

2005

mathematics, interpolation, dither, control theory

IBM Research Report The Optimality of the On-Line Greedy Algorithm in Carpool and Chairman Assignment Problems

Don Coppersmith, Tomasz J. Nowicki, Giuseppe A. Paleologo, Charles Tresser, Chai Wah Wu

2005

mathematical optimization, ibm, greedy algorithm, distributed computing, computer science, carpool

Don Coppersmith, Tomasz J. Nowicki, Giuseppe A. Paleologo, Charles Tresser, Chai Wah Wu

2005

mathematical optimization, ibm, greedy algorithm, distributed computing, computer science, carpool

On bounds of extremal eigenvalues of irreducible and m-reducible matrices

Chai Wah Wu

Abstract upper and lower bounds, strongly connected component, matrix, mathematics, mathematical analysis, gershgorin circle theorem, eigenvalues and eigenvectors, directed graph, connectivity, combinatorics, algebraic connectivity

Chai Wah Wu

*Linear Algebra and its Applications**402*, 29-45, 2005Abstract upper and lower bounds, strongly connected component, matrix, mathematics, mathematical analysis, gershgorin circle theorem, eigenvalues and eigenvectors, directed graph, connectivity, combinatorics, algebraic connectivity

On Rayleigh-Ritz ratios of a generalized Laplacian matrix of directed graphs

Chai Wah Wu

Abstract strongly connected component, robbins theorem, pancyclic graph, modular decomposition, mathematics, longest path problem, indifference graph, discrete mathematics, combinatorics, chordal graph, algebraic connectivity

Chai Wah Wu

*Linear Algebra and its Applications**402*, 207-227, 2005Abstract strongly connected component, robbins theorem, pancyclic graph, modular decomposition, mathematics, longest path problem, indifference graph, discrete mathematics, combinatorics, chordal graph, algebraic connectivity

Direct binary search with adaptive search and swap

S. Bhatt, J. Harlim, J. Lepak, R. Ronkese, J. Sabino, C.W. Wu

S. Bhatt, J. Harlim, J. Lepak, R. Ronkese, J. Sabino, C.W. Wu

*The college of information sciences and technology*, 2005
Synchronization in networks of nonlinear dynamical systems coupled via a directed graph

Chai Wah Wu

Chai Wah Wu

*Nonlinearity**18*(*3*), 1057, IOP Publishing, 2005
STABILITY OF CELLULAR NEURAL NETWORK WITH SMALL DELAYS

Y S Huang, C W Wu

Y S Huang, C W Wu

*DYNAMICAL SYSTEMS**2005*, 420--426
Privacy preserving data mining with unidirectional interaction

C.W. Wu

C.W. Wu

*Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on*,*pp. 5521--5524*
Fundamentals of dynamic decentralized optimization in autonomic computing systems

Tomasz Nowicki, Mark S Squillante, Chai Wah Wu

Tomasz Nowicki, Mark S Squillante, Chai Wah Wu

*Self-star Properties in Complex Information Systems*,*pp. 204--218*, Springer, 2005
A unifying proof of global asymptotical stability of neural networks with delay

Y.S. Huang, C.W. Wu

Y.S. Huang, C.W. Wu

*Circuits and Systems II: Express Briefs, IEEE Transactions on**52*(*4*), 181--184, IEEE, 2005
Synchronization in an array of chaotic systems coupled via a directed graph

C.W. Wu

C.W. Wu

*Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on*,*pp. 6046--6049*
The Optimality of the On-line greedy algorithm in carpool and chairman assignment problems

D. Coppersmith, T.J. Nowicki, G.A. Paleologo, C. Tresser, C.W. Wu

D. Coppersmith, T.J. Nowicki, G.A. Paleologo, C. Tresser, C.W. Wu

*IBM Research Report*, 2005
On bounds of extremal eigenvalues of irreducible and< i> m-reducible matrices

Chai Wah Wu

Chai Wah Wu

*Linear algebra and its applications**402*, 29--45, Elsevier, 2005
Synchronizability of networks of chaotic systems coupled via a graph with a prescribed degree sequence

Chai Wah Wu

Chai Wah Wu

*Physics Letters A**346*(*4*), 281--287, Elsevier, 2005
Algebraic connectivity of directed graphs

Chai Wah Wu

Chai Wah Wu

*Linear and Multilinear Algebra**53*(*3*), 203--223, Taylor \& Francis, 2005
On Rayleigh--Ritz ratios of a generalized Laplacian matrix of directed graphs

Chai Wah Wu

Chai Wah Wu

*Linear algebra and its applications**402*, 207--227, Elsevier, 2005
Comparative studies of load balancing with control and optimization techniques

Yixin Diao, Chai Wah Wu, Joseph L Hellerstein, Adam J Storm, M Surenda, Sam Lightstone, Sujay Parekh, Christian Garcia-Arellano, Matthew Carroll, Lee Chu, others

Yixin Diao, Chai Wah Wu, Joseph L Hellerstein, Adam J Storm, M Surenda, Sam Lightstone, Sujay Parekh, Christian Garcia-Arellano, Matthew Carroll, Lee Chu, others

*American Control Conference, 2005. Proceedings of the 2005*,*pp. 1484--1490*
Agreement and consensus problems in groups of autonomous agents with linear dynamics

Chai Wah Wu

Chai Wah Wu

*Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on*,*pp. 292--295*
Synchronization in arrays of coupled nonlinear systems with delay and nonreciprocal time-varying coupling

Chai Wah Wu

Chai Wah Wu

*Circuits and Systems II: Express Briefs, IEEE Transactions on**52*(*5*), 282--286, IEEE, 2005**2004**

Stanich, Digital watermarking and steganography via overlays of halftone images, RC23267 (W0407-013)

CW Wu, G. ThompsonM

CW Wu, G. ThompsonM

*Electr. Eng. IBM Res. Rep*, 2004
Digital watermarking and steganography via overlays of halftone images

Chai Wah Wu, Gerhard R Thompson, Mikel J Stanich

Chai Wah Wu, Gerhard R Thompson, Mikel J Stanich

*Optical Science and Technology, the SPIE 49th Annual Meeting*,*pp. 152--163*, Citeseer, 2004
A unifying group of global asymptotical stability of neural networks with delay

C.W. Wu, Y.S. Huang

C.W. Wu, Y.S. Huang

*Circuits and Systems, 2004. ISCAS'04. Proceedings of the 2004 International Symposium on*,*pp. III--65*
Synchronization in systems coupled via complex networks

C.W. Wu

C.W. Wu

*Circuits and Systems, 2004. ISCAS'04. Proceedings of the 2004 International Symposium on*,*pp. IV--724***2003**

The mathematics of halftoning

Roy L Adler, BP Kitchens, Marco Martens, Charles Philippe Tresser, Chai Wah Wu

Roy L Adler, BP Kitchens, Marco Martens, Charles Philippe Tresser, Chai Wah Wu

*IBM Journal of Research and Development**47*(*1*), 5--15, IBM, 2003
Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling

C W Wu

C W Wu

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**50*(*2*), 294--297, IEEE, 2003
Color and luminance management for high-resolution liquid-crystal displays

S.L. Wright, S. Millman, C.W. Wu, P.F. Greier, K. Yamauchi, K. Numano, K. Sumiyoshi, Y. Hanabuchi, T. Miyamoto

S.L. Wright, S. Millman, C.W. Wu, P.F. Greier, K. Yamauchi, K. Numano, K. Sumiyoshi, Y. Hanabuchi, T. Miyamoto

*SID INTERNATIONAL SYMPOSIUM DIGEST OF TECHNICAL PAPERS*,*pp. 940--945*, 2003
Multiple images viewable on twisted-nematic mode liquid-crystal displays

C.W. Wu, G. Thompson, S.L. Wright

C.W. Wu, G. Thompson, S.L. Wright

*Signal Processing Letters, IEEE**10*(*8*), 225--227, IEEE, 2003
Privacy preserving data mining: a signal processing perspective and a simple data perturbation protocol

C.W. Wu

C.W. Wu

*The 2nd workshop on privacy preserving data mining (PPDMâ€™03)*,*pp. 10--17*, 2003
A unified framework for digital halftoning and dither mask construction: variations on a theme and implementation issues

C.W. Wu, G. Thompson, M. Stanich

C.W. Wu, G. Thompson, M. Stanich

*Proceedings IS\&Tâ€™s NIP19: International Conference on Digital Printing Technologies*,*pp. 793--796*, 2003
A content-based image authentication system with lossless data hiding

D Zou, C W Wu, G Xuan, Y Q Shi

D Zou, C W Wu, G Xuan, Y Q Shi

*IEEE International conference on Multimedia and Expo*,*pp. 213--216*, 2003
Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic systems

Chai Wah Wu

Chai Wah Wu

*Physics Letters A**319*(*5*), 495--503, Elsevier, 2003
Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling

C.W. Wu

C.W. Wu

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**50*(*2*), 294--297, IEEE, 2003**2002**

Lyapunov Exponents Approach to Synchronization

Chai Wah Wu

2002

synchronization, mathematics, lyapunov redesign, lyapunov exponent, lyapunov equation, control theory

Chai Wah Wu

2002

synchronization, mathematics, lyapunov redesign, lyapunov exponent, lyapunov equation, control theory

Graph Topology and Synchronization

Chai Wah Wu

2002

windmill graph, voltage graph, simplex graph, null graph, mathematics, graph, folded cube graph, distance hereditary graph, combinatorics, butterfly graph

Chai Wah Wu

2002

windmill graph, voltage graph, simplex graph, null graph, mathematics, graph, folded cube graph, distance hereditary graph, combinatorics, butterfly graph

Synchronization in Coupled Arrays: Dynamic Coupling

Chai Wah Wu

2002

synchronization, physics, coupling, control theory

Chai Wah Wu

2002

synchronization, physics, coupling, control theory

Synchronization in Two Coupled Chaotic Systems

Chai Wah Wu

2002

synchronization of chaos, synchronization, phase synchronization, mathematics, control theory, chaotic

Chai Wah Wu

2002

synchronization of chaos, synchronization, phase synchronization, mathematics, control theory, chaotic

Synchronization in Coupled Arrays of Chaotic Systems

Chai Wah Wu

2002

synchronization of chaos, synchronization, physics, control theory, chaotic

Chai Wah Wu

2002

synchronization of chaos, synchronization, physics, control theory, chaotic

ON THREE OSCILLATOR UNIVERSAL PROBES FOR DETERMINING SYNCHRONIZATION IN ARRAYS OF COUPLED OSCILLATORS

Chai Wah Wu

Abstract synchronization of chaos, synchronization, oscillation, mathematics, coupling, control theory

Chai Wah Wu

*International Journal of Bifurcation and Chaos**12*(*10*), 2233-2238, 2002Abstract synchronization of chaos, synchronization, oscillation, mathematics, coupling, control theory

Multimedia data hiding and authentication via halftoning and coordinate projection

Chai Wah Wu

Chai Wah Wu

*EURASIP J. Appl. Signal Process.**2002*(*1*), 143--151, Hindawi Publishing Corp.
Simple three oscillator universal probes for determining synchronization stability in coupled arrays of oscillators

C W Wu

C W Wu

*Circuits and Systems, 2001*,*pp. 261--264*, 2002
Symbolic dynamics of piecewise-linear maps

C W Wu, LO Chua

C W Wu, LO Chua

*Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on**41*(*6*), 420--424, IEEE, 2002
Error bounds for error diffusion and related digital halftoning algorithms

R Adler, B Kitchens, M Martens, A Nogueira, C Tresser, C W Wu

R Adler, B Kitchens, M Martens, A Nogueira, C Tresser, C W Wu

*Circuits and Systems, 2001*,*pp. 513--516*, 2002
On linear topological conjugacy of Lur'e systems

C W Wu, LO Chua

C W Wu, LO Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**43*(*2*), 158--161, IEEE, 2002
Torus-doubling bifurcations in four mutually coupled Chua's circuits

G Q Zhong, C W Wu, L O Chua

G Q Zhong, C W Wu, L O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**45*(*2*), 186--193, IEEE, 2002
Stability of cellular neural networks with dominant nonlinear and delay-type templates

T Roska, CW Wu, LO Chua

T Roska, CW Wu, LO Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**40*(*4*), 270--272, IEEE, 2002
Stability and dynamics of delay-type general and cellular neural networks

T Roska, CW Wu, M Balsi, LO Chua

T Roska, CW Wu, M Balsi, LO Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**39*(*6*), 487--490, IEEE, 2002
Fuzzy cellular neural networks: applications

T Yang, L B Yang, CW Wu, LO Chua

T Yang, L B Yang, CW Wu, LO Chua

*Cellular Neural Networks and their Applications, 1996*,*pp. 225--230*, 2002
Fuzzy cellular neural networks: theory

T Yang, L B Yang, C W Wu, LO Chua

T Yang, L B Yang, C W Wu, LO Chua

*Cellular Neural Networks and their Applications, 1996*,*pp. 181--186*, 2002
Shape-Changing Spot Function for Digital Clustered-Dot Halftoning

JQ Trelewicz, D Dittrich, Y Qiao, CW Wu, G …

INTERNATIONAL CONFERENCE ON DIGITAL …, 2002 - imaging.org

JQ Trelewicz, D Dittrich, Y Qiao, CW Wu, G …

INTERNATIONAL CONFERENCE ON DIGITAL …, 2002 - imaging.org

On nonlinear dynamical systems topologically conjugate to jerky motion via a linear transformation

Chai Wah Wu

Chai Wah Wu

*Physics Letters A**296*(*2*), 105--108, Elsevier, 2002
Multimedia data hiding and authentication via halftoning and coordinate projection

C.W. Wu

C.W. Wu

*EURASIP Journal on Applied Signal Processing**2*(*1*), 143--151, EUROPEAN ASSOCIATION FOR SPEECH SIGNAL AND IMAGE PROCESSING, 2002
On the design of content-based multimedia authentication systems

Chai Wah Wu

Chai Wah Wu

*Multimedia, IEEE Transactions on**4*(*3*), 385--393, IEEE, 2002
Synchronization in coupled chaotic circuits and systems

Chai Wah Wu

2002 - World Scientific, World Scientific

Chai Wah Wu

2002 - World Scientific, World Scientific

**2001**

Application of invisible image watermarks to produce remotely printed, duplication resistant, and demonstrably authentic documents

Gordon W. Braudaway, Frederick C. Mintzer, John M. Socolofsky, Charles Philippe Tresser, Chai Wah Wu

Abstract world wide web, the internet, public key cryptography, message authentication code, ibm, hard copy, digital watermarking, cryptography, computer security, computer science, authentication

Gordon W. Braudaway, Frederick C. Mintzer, John M. Socolofsky, Charles Philippe Tresser, Chai Wah Wu

*Security and watermarking of multimedia contents. Conference**4314*, 351-359, 2001Abstract world wide web, the internet, public key cryptography, message authentication code, ibm, hard copy, digital watermarking, cryptography, computer security, computer science, authentication

Error Bounds for Error Diffusion and Related Halftoning Algorithms

Roy L. Adler, Bruce Kitchens, Marco Martens, Antonio D. Nogueira, Charles Philippe Tresser, Chai Wah Wu

theoretical computer science, round off error, error diffusion, discretization error, computer science, approximation error

Roy L. Adler, Bruce Kitchens, Marco Martens, Antonio D. Nogueira, Charles Philippe Tresser, Chai Wah Wu

*ISCAS*, 2001theoretical computer science, round off error, error diffusion, discretization error, computer science, approximation error

Synchronization in arrays of coupled nonlinear systems: passivity circle criterion and observer design

Chai Wah Wu

Abstract synchronization, passivity, observer, nonlinear system, mathematics, lipschitz continuity, control theory, control engineering, circle criterion

Chai Wah Wu

*ISCAS 2001. The 2001 IEEE International Symposium on Circuits and Systems (Cat. No.01CH37196)*,*pp. 692-695*Abstract synchronization, passivity, observer, nonlinear system, mathematics, lipschitz continuity, control theory, control engineering, circle criterion

Application of invisible image watermarks to produce remotely printed, duplication-resistant, and demonstrably authentic documents

Gordon W Braudaway, Frederick C Mintzer, John M Socolofsky, Charles P Tresser, Chai W Wu

Gordon W Braudaway, Frederick C Mintzer, John M Socolofsky, Charles P Tresser, Chai W Wu

*Photonics West 2001-Electronic Imaging*,*pp. 351--359*
Limitations and requirements of content-based multimedia authentication systems

Chai W Wu

Chai W Wu

*Photonics West 2001-Electronic Imaging*,*pp. 241--252*
Simple three oscillator universal probes for determining synchronization stability in coupled arrays of oscillators

C.W. Wu

C.W. Wu

*Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on*,*pp. 261--264*
Supercell dither masks with constrained blue noise interpolation

CW Wu, GR Thompson, CP Tresser, M …

INTERNATIONAL CONFERENCE ON DIGITAL …, 2001 - imaging.org

CW Wu, GR Thompson, CP Tresser, M …

INTERNATIONAL CONFERENCE ON DIGITAL …, 2001 - imaging.org

Multilevel color halftoning

J.L. Mitchell, GR Thompson, C.W. Wu, T.J. Trenary, Y. Qiao

J.L. Mitchell, GR Thompson, C.W. Wu, T.J. Trenary, Y. Qiao

*Proceedings of the Imaging Science and Technology 9th Color Imaging Conference*,*pp. 189--193*, 2001
Error bounds for error diffusion and related digital halftoning algorithms

R. Adler, B. Kitchens, M. Martens, A. Nogueira, C. Tresser, C.W. Wu

R. Adler, B. Kitchens, M. Martens, A. Nogueira, C. Tresser, C.W. Wu

*Circuits and Systems, 2001. ISCAS 2001. The 2001 IEEE International Symposium on*,*pp. 513--516*
Synchronization in arrays of coupled nonlinear systems: passivity, circle criterion, and observer design

Chai Wah Wu

Chai Wah Wu

*Circuits and Systems, 2001*,*pp. 1257--1261*, IEEE**2000**

Robust watermark for detecting alterations

Gaurav Aggarwal, Pradeep Dubey, Ashutosh Kulshreshtha, Marco Martens, Charles Philippe Louis Tresser, Chai Wah Wu

2000

Abstract watermark, public key cryptography, principal component analysis, mathematics, image processing, encryption, digital watermarking, computer vision, artificial intelligence

Gaurav Aggarwal, Pradeep Dubey, Ashutosh Kulshreshtha, Marco Martens, Charles Philippe Louis Tresser, Chai Wah Wu

2000

Abstract watermark, public key cryptography, principal component analysis, mathematics, image processing, encryption, digital watermarking, computer vision, artificial intelligence

Multicell Clustered Mask with Blue Noise

George Richard Thompson, Charles Philippe Tresser, Chai Wah Wu

2000

optics, mathematics, colors of noise

George Richard Thompson, Charles Philippe Tresser, Chai Wah Wu

2000

optics, mathematics, colors of noise

Method and system for remote printing of duplication resistent documents

Gordon Wesley Braudaway, Patrick D Howard, Pasumarti Venkata Kamesam, Frederick Cole Mintzer, Howard Edward Sachar, Sean William Smith, John Mark Socolofsky, Charles Philippe Louis Tresser, Chai Wah Wu

2000

Abstract world wide web, security controls, internet privacy, engineering, encryption, digital signature, certification

Gordon Wesley Braudaway, Patrick D Howard, Pasumarti Venkata Kamesam, Frederick Cole Mintzer, Howard Edward Sachar, Sean William Smith, John Mark Socolofsky, Charles Philippe Louis Tresser, Chai Wah Wu

2000

Abstract world wide web, security controls, internet privacy, engineering, encryption, digital signature, certification

Synchronization in Arrays of Chaotic Circuits Coupled via Dynamic Coupling Elements

CW Wu

International Journal of Bifurcation and Chaos, 2000 - WORLD SCIENTIFIC PUBLISHING CO

CW Wu

International Journal of Bifurcation and Chaos, 2000 - WORLD SCIENTIFIC PUBLISHING CO

**1999**

Verfahren und Gerat zum Erzeugen von Wasserzeichen fur Datensatze Method and apparatus for generating watermark for records

Don Coppersmith, Frederick Cole Mintzer, Charles P Tresser, Chai Wah Wu, Minerva Ming-Yee Yeung

1999

watermark, computer science, computer hardware

Don Coppersmith, Frederick Cole Mintzer, Charles P Tresser, Chai Wah Wu, Minerva Ming-Yee Yeung

1999

watermark, computer science, computer hardware

Method for distributing and authenticating data set by using water-mark and device therefor

Don Coppersmith, Frederick Cole Mintzer, Charles P Tresser, Chai Wah Wu, Minerva Ming-Yee Yeung, , , , ,

1999

Abstract source data, least significant bit, information retrieval, image quality, data mining, computer science, authentication

Don Coppersmith, Frederick Cole Mintzer, Charles P Tresser, Chai Wah Wu, Minerva Ming-Yee Yeung, , , , ,

1999

Abstract source data, least significant bit, information retrieval, image quality, data mining, computer science, authentication

3D visualization of the scoliotic spine: longitudinal studies, data acquisition, and radiation dosage constraints

Alan David Kalvin, Roy L. Adler, Joseph Y. Margulies, Charles P. Tresser, Chai Wah Wu

Abstract visualization, small number, scoliosis, radiology, radiation treatment planning, radiation, iterative reconstruction, image restoration, geography, data acquisition, biological engineering

Alan David Kalvin, Roy L. Adler, Joseph Y. Margulies, Charles P. Tresser, Chai Wah Wu

*Medical Imaging 1999: Image Display**3658*, 17-24Abstract visualization, small number, scoliosis, radiology, radiation treatment planning, radiation, iterative reconstruction, image restoration, geography, data acquisition, biological engineering

Error bounds for error diffusion and other mathematical problems arising in digital halftoning

Roy L Adler, Bruce Kitchens, Marco Martens, Arnaldo Nogueira, Charles P Tresser, Chai W Wu

Roy L Adler, Bruce Kitchens, Marco Martens, Arnaldo Nogueira, Charles P Tresser, Chai W Wu

*Electronic Imaging*,*pp. 437--443*, 1999
Red spectra from white and blue noise

N J Balmforth, A Provenzale, E A Spiegel, M Martens, C Tresser, C W Wu

N J Balmforth, A Provenzale, E A Spiegel, M Martens, C Tresser, C W Wu

*Proceedings of the Royal Society B: Biological Sciences**266*(*1416*), 311, The Royal Society, 1999
Fragile imperceptible digital watermark with privacy control

D Coppersmith, F C Mintzer, C P Tresser, C W Wu, M M Yeung

D Coppersmith, F C Mintzer, C P Tresser, C W Wu, M M Yeung

*Proceedings of SPIE*,*pp. 79*, 1999
Qualitative Analysis of Dynamic Circuits

C W Wu

C W Wu

*Wiley Encyclopedia of Electrical and Electronics Engineering*, Wiley Online Library, 1999
Synchronization in arrays of coupled chaotic circuits and systems: Theory and applications

CW Wu

Controlling Chaos and Bifurcations in Engineering …, 1999

CW Wu

Controlling Chaos and Bifurcations in Engineering …, 1999

**1998**

Quantized sampling as sampling with uncertainty in time and amplitude

C W Wu, L O Chua

C W Wu, L O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**45*(*4*), 458--463, IEEE, 1998
Torus-doubling bifurcations in four mutually coupled Chua's circuits

G.Q. Zhong, C.W. Wu, L.O. Chua

G.Q. Zhong, C.W. Wu, L.O. Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**45*(*2*), 186--193, IEEE, 1998
Synthesizing arbitrary driving-point and transfer characteristics

L O Chua, C W Wu, G O Zhong, L F Liu

L O Chua, C W Wu, G O Zhong, L F Liu

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**45*(*12*), 1225--1232, IEEE, 1998
JiffyTune: Circuit optimization using time-domain sensitivities

Andrew R. Conn, P.K. Coulman, R.A. Haring, G.L. Morrill, C. Visweswariah, and C.W. Wu

Complete List of Publications

Andrew R. Conn, P.K. Coulman, R.A. Haring, G.L. Morrill, C. Visweswariah, and C.W. Wu

*IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems**17*(*12*), 1292--1309, IEEE, 1998Complete List of Publications

Synchronization in arrays of chaotic circuits coupled via hypergraphs: Static and dynamic coupling

C.W. Wu

C.W. Wu

*Circuits and Systems, 1998. ISCAS'98. Proceedings of the 1998 IEEE International Symposium on*,*pp. 287--290*
Graph coloring via synchronization of coupled oscillators

C.W. Wu

C.W. Wu

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**45*(*9*), 974--978, IEEE, 1998
Global synchronization in coupled map lattices

C.W. Wu

C.W. Wu

*Circuits and Systems, 1998. ISCAS'98. Proceedings of the 1998 IEEE International Symposium on*,*pp. 302--305***1997**

Express Letters

T Yang, C W Wu, L O Chua

T Yang, C W Wu, L O Chua

*IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMSâ€”I: FUNDAMENTAL THEORY AND APPLICATIONS**44*(*5*), 469, 1997
New results and measurements related to some tasks in object-oriented dynamic image coding using CNN universal chips

T Kozek, C W Wu, A Zar{'a}ndy, H Chen, T Roska, M Kunt, L O Chua

T Kozek, C W Wu, A Zar{'a}ndy, H Chen, T Roska, M Kunt, L O Chua

*Circuits and Systems for Video Technology, IEEE Transactions on**7*(*4*), 606--614, IEEE, 1997
Master-slave synchronization and the Lorenz equations

Neil Balmforth, Charles Tresser, Patrick Worfolk, Chai Wah Wu

Neil Balmforth, Charles Tresser, Patrick Worfolk, Chai Wah Wu

*Chaos: An Interdisciplinary Journal of Nonlinear Science**7*(*3*), 392--394, AIP Publishing, 1997
Circuit optimization via adjoint Lagrangians

Andrew R. Conn, R.A. Haring, C. Visweswariah, and C.W. Wu

Andrew R. Conn, R.A. Haring, C. Visweswariah, and C.W. Wu

*Proceedings of the 1997 IEEE/ACM international conference on Computer-aided design*,*pp. 281--288*, IEEE Computer Society
A more rigorous proof of complete stability of cellular neural networks

C W Wu, L O Chua

C W Wu, L O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**44*(*4*), 370--371, IEEE, 1997
Cryptography based on chaotic systems

Tao Yang, Chai Wah Wu, Leon O Chua

Tao Yang, Chai Wah Wu, Leon O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**44*(*5*), 469--472, IEEE, 1997
Communication systems via chaotic signals from a reconstruction viewpoint

Makoto Itoh, Chai Wah Wu, Leon O Chua

Makoto Itoh, Chai Wah Wu, Leon O Chua

*International Journal of Bifurcation and Chaos**7*(*02*), 275--286, World Scientific, 1997**1996**

New results and measurements related to dynamic image coding using CNN universal chips. (Memorandum of the Electronics Research Laboratory, UCB/ERL M96/58)

T. Kozek, Cw Wu, Akos Zarandy, H. Chen, Tamas Roska, M. Kunt, Lo Chua

1996

memorandum, electronics, electrical engineering, computer science, coding

T. Kozek, Cw Wu, Akos Zarandy, H. Chen, Tamas Roska, M. Kunt, Lo Chua

1996

memorandum, electronics, electrical engineering, computer science, coding

On the generality of the unfolded Chua's circuit

CW Wu

CW Wu

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering**6*(*5*), 801--832, Singapore: World Scientific, 1991-, 1996
Adaptive synchronization of Chua's oscillators

Leon O Chua, Tao Yang, Guo-Qun Zhong, Chai Wah Wu

Leon O Chua, Tao Yang, Guo-Qun Zhong, Chai Wah Wu

*International Journal of Bifurcation and Chaos**6*(*01*), 189--201, World Scientific, 1996
On a conjecture regarding the synchronization in an array of linearly coupled dynamical systems

C W Wu, L O Chua

C W Wu, L O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**43*(*2*), 161--165, IEEE, 1996
On a Variation of the Huberman-Lumer Adaptive Scheme

CW Wu, L O Chua

CW Wu, L O Chua

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering**6*(*7*), 1397--1408, Singapore: World Scientific, 1991-, 1996
Fuzzy cellular neural networks: applications

Tao Yang, Lin-Bao Yang, Chai Wah Wu, Leon O Chua

Tao Yang, Lin-Bao Yang, Chai Wah Wu, Leon O Chua

*Cellular Neural Networks and their Applications, 1996. CNNA-96. Proceedings., 1996 Fourth IEEE International Workshop on*,*pp. 225--230*
1-D maps, chaos and neural networks for information processing

Y.V. Andreyev, AS Dmitriev, DA Kuminov, LO Chua, CW Wu

Y.V. Andreyev, AS Dmitriev, DA Kuminov, LO Chua, CW Wu

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering**6*(*4*), 627--646, Singapore: World Scientific, 1991-, 1996
Chua's equation with cubic nonlinearity

AS Huang, L. Pivka, C.W. Wu, M. Franz

AS Huang, L. Pivka, C.W. Wu, M. Franz

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering**6*(*12*), 2175--2222, Citeseer, 1996
Synchronizing nonautonomous chaotic systems without phase-locking

C.W.W.G.Q.Z.L.O. Chua

C.W.W.G.Q.Z.L.O. Chua

*J. Circuits, Syst., Comput**6*(*3*), 227--241, 1996
On linear topological conjugacy of Lur'e systems

C W Wu, L O Chua

C W Wu, L O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**43*(*2*), 158--161, IEEE, 1996
Complex behavior in digital filters with overflow nonlinearity: analytical results

L Kocarev, C W Wu, LO Choa

L Kocarev, C W Wu, LO Choa

*Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on**43*(*3*), 234--246, IEEE, 1996
On the generality of the unfolded Chua's circuit

CW Wu

International Journal of Bifurcation and Chaos, 1996 - WORLD SCIENTIFIC PUBLISHING CO

CW Wu

International Journal of Bifurcation and Chaos, 1996 - WORLD SCIENTIFIC PUBLISHING CO

Lorenz equation and Chua's equation

L. Pivka, C.W. Wu, A. Huang

L. Pivka, C.W. Wu, A. Huang

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering**6*(*12*), 2443--2490, Singapore: World Scientific, 1991-, 1996
Synchronization of Chua's circuits with time-varying channels and parameters

Leon O Chua, Tao Yang, Guo-Qun Zhong, Chai Wah Wu

Leon O Chua, Tao Yang, Guo-Qun Zhong, Chai Wah Wu

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**43*(*10*), 862--868, IEEE, 1996
Adaptive synchronization of Chua's oscillators

LO Chua, T Yang, GQ Zhong, CW Wu

International Journal of Bifurcation and Chaos, 1996 - WORLD SCIENTIFIC PUBLISHING CO

LO Chua, T Yang, GQ Zhong, CW Wu

International Journal of Bifurcation and Chaos, 1996 - WORLD SCIENTIFIC PUBLISHING CO

On adaptive synchronization and control of nonlinear dynamical systems

Chai Wah Wu, TAO YANG, Leon O Chua

Chai Wah Wu, TAO YANG, Leon O Chua

*International Journal of Bifurcation and Chaos**6*(*03*), 455--471, World Scientific, 1996
Fuzzy cellular neural networks: theory

Tao Yang, Lin-Bao Yang, Chai Wah Wu, Leon O Chua

Tao Yang, Lin-Bao Yang, Chai Wah Wu, Leon O Chua

*Cellular Neural Networks and their Applications, 1996. CNNA-96. Proceedings., 1996 Fourth IEEE International Workshop on*,*pp. 181--186***1995**

CHUAS CIRCUIT: CHAOTIC PHENOMENA AND APPLICATIONS

Ladislav Pivka, Chai Wah Wu, Leon O. Chua

1995

physics, control theory, chua s circuit, chaotic

Ladislav Pivka, Chai Wah Wu, Leon O. Chua

1995

physics, control theory, chua s circuit, chaotic

FINDING PARAMETERS FOR CHUAS OSCILLATOR WHICH IS TOPOLOGICALLY CONJUGATE TO SYSTEMS WITH A SCALAR NONLINEARITY

Chai Wah Wu, Leon O. Chua

Abstract vector field, topological conjugacy, scalar, oscillation, nonlinear system, mathematics, mathematical analysis, control theory, colpitts oscillator

Chai Wah Wu, Leon O. Chua

*International Journal of Bifurcation and Chaos**5*(*3*), 895-899, 1995Abstract vector field, topological conjugacy, scalar, oscillation, nonlinear system, mathematics, mathematical analysis, control theory, colpitts oscillator

Synchronization in an array of linearly coupled dynamical systems

Chai Wah Wu, Leon O Chua

Chai Wah Wu, Leon O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**42*(*8*), 430--447, IEEE, 1995
Finding Parameters for Chua's Oscillator Which is Topologically Conjugate to Systems with a …

OWIS TOPOLOGICALLY

International Journal of Bifurcation and Chaos, 1995

OWIS TOPOLOGICALLY

International Journal of Bifurcation and Chaos, 1995

Dynamics of the nonautonomous Chua's circuit

VC Anishchenko, TE Vadivasova, DE Postnov, OV Sosnovtseva, CW Wu

VC Anishchenko, TE Vadivasova, DE Postnov, OV Sosnovtseva, CW Wu

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering**5*(*6*), 1525--1540, Singapore: World Scientific, 1991-, 1995
On the generation of scroll waves in a three-dimensional discrete active medium

Ladislav Pivka, Alexander L Zheleznyak, Chai Wah Wu, Leon O Chua

Ladislav Pivka, Alexander L Zheleznyak, Chai Wah Wu, Leon O Chua

*International Journal of Bifurcation and Chaos**5*(*01*), 313--320, World Scientific, 1995
Dynamics of two coupled Chua's circuits

VC Anishchenko, TE Vadivasova, VV Astakhov, OV Sosnovtseva, CW Wu

VC Anishchenko, TE Vadivasova, VV Astakhov, OV Sosnovtseva, CW Wu

*International Journal of Bifurcation and Chaos in Applied Sciences and Engineering**5*(*6*), 1677--1700, Singapore: World Scientific, 1991-, 1995
Some aspects of order in circuits and systems

C W Wu

Ph.D. Thesis, University of California, Berkeley, 1995

C W Wu

Ph.D. Thesis, University of California, Berkeley, 1995

A universal circuit for studying chaotic phenomena

L O Chua, L Pivka, C W Wu

L O Chua, L Pivka, C W Wu

*Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences**353*(*1701*), 65--84, The Royal Society, 1995
Application of Kronecker products to the analysis of systems with uniform linear coupling

C W Wu, L O Chua

C W Wu, L O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**42*(*10*), 775--778, IEEE, 1995
Application of graph theory to the synchronization in an array of coupled nonlinear oscillators

Chai Wah Wu, Leon O Chua

Chai Wah Wu, Leon O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**42*(*8*), 494--497, IEEE, 1995**1994**

From Chua's circuit to Chua's oscillator: A picture book of attractors

CW Wu, L Pivka

Nonlinear Dynamics of Electronic Systems, Proc. …, 1994

CW Wu, L Pivka

Nonlinear Dynamics of Electronic Systems, Proc. …, 1994

Chua's oscillator: a compendium of chaotic phenomena

L Pivka, C W Wu, A Huang

L Pivka, C W Wu, A Huang

*Journal of the Franklin Institute**331*(*6*), 705--741, Elsevier, 1994
Topological dynamics of continuous maps on the n-od

C W Wu

1994 - University of California, Berkeley, University of California, Berkeley

C W Wu

1994 - University of California, Berkeley, University of California, Berkeley

Chaos in digital filters: a global picture

L Kocarev, C W Wu, L O Chua, Z Galias, M Ogorzalek

L Kocarev, C W Wu, L O Chua, Z Galias, M Ogorzalek

*MATHEMATICAL RESEARCH**79*, 287--287, Citeseer, 1994
Symbolic dynamics of piecewise-linear maps

C W Wu, L O Chua

C W Wu, L O Chua

*Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on**41*(*6*), 420--424, IEEE, 1994
A unified framework for synchronization and control of dynamical systems

Chai Wah Wu, Leon O Chua

Chai Wah Wu, Leon O Chua

*International Journal of Bifurcation and Chaos**4*(*04*), 979--998, World Scientific, 1994**1993**

Properties of admissible symbolic sequences in a secondorder digital filter with overflow nonlinearity

Chai Wah Wu, Leon O. Chua

nonlinear system, non linearity, mathematics, digital filter, control theory

Chai Wah Wu, Leon O. Chua

*International Journal of Circuit Theory and Applications**21*(*3*), 299-307, 1993nonlinear system, non linearity, mathematics, digital filter, control theory

A Simple Way to Synchronize Chaotic Systems with Applications to

Leon O. Chua, Chai W Wu

1993

Abstract synchronizing, synchronization, secure communication, pecora, lyapunov exponent, homogeneous, electronic circuit, control theory, computer science, chaotic systems

Leon O. Chua, Chai W Wu

1993

Abstract synchronizing, synchronization, secure communication, pecora, lyapunov exponent, homogeneous, electronic circuit, control theory, computer science, chaotic systems

Properties of admissible sequences in a second-order digital lter with over ow non-linearity

Chai Wah Wu, Leon O. Chua

1993

telecommunications, linearity, geography, control theory

Chai Wah Wu, Leon O. Chua

1993

telecommunications, linearity, geography, control theory

A Universal Circuit for Studying and Generating Chaos-Part I: Routes

Chai Wah Wu, Anshan Huang

theoretical computer science, piecewise linear function, oscillation, control theory, control engineering, computer science

Chai Wah Wu, Anshan Huang

*ISCAS*, 1993theoretical computer science, piecewise linear function, oscillation, control theory, control engineering, computer science

DIGITAL SIGNAL PROCESSOR-BASED INVESTIGATION OF CHUAS CIRCUIT FAMILY

Michael Peter Kennedy, Chai Wah Wu, Stanley Pau, James Tow

Abstract electronic engineering, digital signal processor, control theory, control engineering, computer science, chua s circuit, architecture

Michael Peter Kennedy, Chai Wah Wu, Stanley Pau, James Tow

*Journal of Circuits, Systems, and Computers**3*(*2*), 269-292, 1993Abstract electronic engineering, digital signal processor, control theory, control engineering, computer science, chua s circuit, architecture

Transmission of digital digital signals by chaotic synchronization

Chai Wah Wu, Leon O. Chua

transmission, synchronization of chaos, synchronization, mathematics, digital signal, control theory, chaotic

Chai Wah Wu, Leon O. Chua

*International Journal of Bifurcation and Chaos*, 1993transmission, synchronization of chaos, synchronization, mathematics, digital signal, control theory, chaotic

SPREAD SPECTRUM COMMUNICATION THROUGH MODULATION OF CHAOS IN CHUAS CIRCUIT

K. Sean Halle, Chai-Wah Wu, Makoto Itoh, Leon O. Chua

1993

spread spectrum, modulation, electronic engineering, computer science, chua s circuit

K. Sean Halle, Chai-Wah Wu, Makoto Itoh, Leon O. Chua

1993

spread spectrum, modulation, electronic engineering, computer science, chua s circuit

Studying chaos via 1-D maps-a tutorial

Chai Wah Wu, Nikolai F. Rulkov

Abstract rlc circuit, oscillation, network analysis, mathematics, electronic engineering, electronic circuit, differential equation, control theory, control engineering, chua s circuit, chaotic, attractor

Chai Wah Wu, Nikolai F. Rulkov

*IEEE Transactions on Circuits and Systems I-regular Papers**40*(*10*), 707-721, 1993Abstract rlc circuit, oscillation, network analysis, mathematics, electronic engineering, electronic circuit, differential equation, control theory, control engineering, chua s circuit, chaotic, attractor

INTRODUCTION TO EXPERIMENTAL CHAOS USING CHUAS CIRCUIT

Rabinder N. Madan, Chai Wah Wu

1993

mathematics, control theory, chua s circuit

Rabinder N. Madan, Chai Wah Wu

1993

mathematics, control theory, chua s circuit

A universal circuit for studying and generating chaos. II. Strange attractors

L O Chua, C W Wu, A Huang, G Q Zhong

L O Chua, C W Wu, A Huang, G Q Zhong

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**40*(*10*), 745--761, IEEE, 1993
Properties of admissible symbolic sequences in a second-order digital filter with overflow non-linearity

C W Wu, L O Chua

C W Wu, L O Chua

*International journal of circuit theory and applications**21*(*3*), 299--307, Wiley Online Library, 1993
A universal circuit for studying and generating chaosâ€”Part II: Strange attractors

L O Chua, C W Wu, A Huang, G Q Zhong

L O Chua, C W Wu, A Huang, G Q Zhong

*IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMSâ€”I: FUNDAMENTAL THEORY AND APPLICATIONS**40*(*10*), 1993
A simple way to synchronize chaotic systems with applications to secure communication systems

Chai Wah Wu, Leon O Chua

Chai Wah Wu, Leon O Chua

*International Journal of Bifurcation and Chaos**3*(*06*), 1619--1627, World Scientific, 1993
ABC: Adventures in bifurcation and chaos

MP Kennedy, Chai Wah Wu

Chua's Circuit: A Paradigms for Chaos, 1993

MP Kennedy, Chai Wah Wu

Chua's Circuit: A Paradigms for Chaos, 1993

Introduction to experimental chaos using Chua's circuit

RN Madan, CW Wu

Chua's Circuit: A Paradigm for Chaos, ed. Madan, RN ( …, 1993

RN Madan, CW Wu

Chua's Circuit: A Paradigm for Chaos, ed. Madan, RN ( …, 1993

Studying chaos via 1 - D maps -A tutorial

CW Wu, NF Rul'kov

IEEE Transactions on Circuits and Systems I: …, 1993 - ieeexplore.ieee.org

CW Wu, NF Rul'kov

IEEE Transactions on Circuits and Systems I: …, 1993 - ieeexplore.ieee.org

Digital signal processor-based investigation of Chuaâ€™s circuit family

M.P. Kennedy, CW Wu, S. Pau, J. Tow

M.P. Kennedy, CW Wu, S. Pau, J. Tow

*J. Circuits Syst. Cotnput**3*, 269, 1993
Spread spectrum communication through modulation of chaos

K Sean Halle, Chai Wah Wu, Makoto Itoh, Leon O Chua

K Sean Halle, Chai Wah Wu, Makoto Itoh, Leon O Chua

*International Journal of Bifurcation and Chaos**3*(*02*), 469--477, World Scientific, 1993
Stability of cellular neural networks with dominant nonlinear and delay-type templates

T Roska, Chai Wah Wu, Leon O Chua

T Roska, Chai Wah Wu, Leon O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**40*(*4*), 270--272, IEEE, 1993
A universal circuit for studying and generating chaos. I. Routes to chaos

Leon O Chua, Chai Wah Wu, Anshan Huang, G-Q Zhong

Leon O Chua, Chai Wah Wu, Anshan Huang, G-Q Zhong

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**40*(*10*), 732--744, IEEE, 1993**1992**

Stability of cellular neural networks with dominant nonlinear and delay-type templates. (Memo UCB/ERL No. M92/121.)

Tamas Roska, Cw Wu, Lo Chua

1992

template, nonlinear system, machine learning, computer science, cellular neural network, artificial intelligence

Tamas Roska, Cw Wu, Lo Chua

1992

template, nonlinear system, machine learning, computer science, cellular neural network, artificial intelligence

A two-layer Radon transform cellular neural network

C W Wu, L O Chua, T Roska

C W Wu, L O Chua, T Roska

*Circuits and Systems II: Analog and Digital Signal Processing, IEEE Transactions on**39*(*7*), 488--489, IEEE, 1992
Associative and random access memory using one-dimensional maps

Y.V. Andreyev, AS Dmitriev, LO Chua, CW Wu

Y.V. Andreyev, AS Dmitriev, LO Chua, CW Wu

*Int. Journal Bifurcation and Chaos**2*(*3*), 483--503, Electronics Research Laboratory, College of Engineering, University of California, 1992
On the universe of stable cellular neural networks

L O Chua, C W Wu

L O Chua, C W Wu

*International journal of circuit theory and applications**20*(*5*), 497--517, Wiley Online Library, 1992
Stability and dynamics of delay-type general and cellular neural networks

Tam\'as Roska, Chai Wah Wu, Marco Balsi, Leon O Chua

Tam\'as Roska, Chai Wah Wu, Marco Balsi, Leon O Chua

*Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on**39*(*6*), 487--490, IEEE, 1992**Year Unknown**

Nearly Completely Decomposable Epidemic-Like Stochastic Processes with Time-Varying Behavior

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah

sigmetrics.org, 0

Abstract

Lu, Yingdong and Squillante, Mark S and Wu, Chai Wah

sigmetrics.org, 0

Abstract