World Scientific Series on Nonlinear Science Series B: Volume 18

Generalized Synchronization and Generalized Consensus of System Arrays

https://doi.org/10.1142/11664 | September 2020

Pages: 160

By (author):
Lequan Min (University of Science and Technology Beijing, China) and
Guanrong Chen (City University of Hong Kong, Hong Kong)

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ISBN: 978-981-121-427-1 (hardcover) USD 78.00 Add to cart

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What is synchronization? This book will show how the concept of closeness of states or frequencies between two dynamical systems has evolved from synchronization to consensus. Part 1 introduces the concepts and mathematical descriptions of Generalized Synchronization (GS) while Part 2 covers Generalized Consensus (GC).

It is suitable for researchers and practitioners undertaking the studies of synchronization and consensus of multi-agent systems, graduate students and senior undergraduate students with the backgrounds in calculus, linear algebra and ordinary differential equations, equipped with computer programming skills, in mathematics, physics, engineering and even social sciences.

Sample Chapter(s)
Preface

Contents:

Preface
Generalized Synchronization in Coupled Array Systems
Generalized Consensus in Coupled Array Systems
Conclusions
Bibliography
Index

Readership: Graduate-level research reference; graduate courses on complex networks, control systems, and nonlinear dynamics.

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FRONT MATTER

Pages:i–xiii

https://doi.org/10.1142/9789811214288_fmatter

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Chapter 1: Generalized Synchronization in an Array of Nonlinear Dynamic Systems with Applications to Chaotic CNN

Pages:1–76

https://doi.org/10.1142/9789811214288_0001

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Chapter 2: Generalized Consensus in an Array of Nonlinear Dynamic Systems with Applications to Chaotic CNN

Pages:77–134

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Chapter 3: Conclusions

Pages:135–137

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BACK MATTER

Pages:139–146

https://doi.org/10.1142/9789811214288_bmatter

Lequan Min received his M.S. degree in applied mathematics from the Northeast Institute of Technology, China in 1982. Before retired in 2019, he was a professor in the Dept. of Information and Computing Science, School of Mathematics and Physics, and a PhD supervisor in the School of Automation at the University of Science and Technology, Beijing. He was a visitor to the Mathematics Institute at the Warwick University, UK during 1994–1996, and to the Dept. of Engineering and Computer Science at the University of California, Berkeley, USA during 1998–1999. He was the Principal Investigator of four grants from the National Nature Science Foundation of China. His current research interests are in the areas of chaos control and chaos-based secure communications, robustness of cellular neural networks with applications, and virus infection dynamics with simulations. He has co-authored over 300 scientific papers.

Guanrong Chen is a Chair Professor and the founding Director of the "Centre for Chaos and Complex Networks" at the City University of Hong Kong. He was elected IEEE Fellow in 1997, awarded the 2011 Euler Gold Medal from Russia, and conferred Honorary Doctor Degrees by the Saint Petersburg State University, Russia in 2011 and by the University of Normandy, France in 2014. He is a Highly Cited Researcher in Engineering (since 2009), as well as in Mathematics, according to Thomson Reuters. He is a Member of the Academy of Europe (since 2014) and a Fellow of The World Academy of Sciences (since 2015).