Dynamical System Synchronization - (Nonlinear Systems and Complexity) by Albert C J Luo (Hardcover)

About the Book

This book presents the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems, detailing necessary conditions for dynamical systems synchronization through extensive mathematical expression.

Book Synopsis

Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.

From the Back Cover

Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.

This book also:

Presents novel concepts and methods for dynamical system synchronization

Extends beyond the Lyapunov theory for dynamical system synchronization

Introduces companion and synchronization of discrete dynamical systems

Includes local singularity theory for discontinuous dynamical systems

Covers the invariant domains of synchronization

Features more than 75 illustrations

Dynamical System Synchronization is an ideal book for those interested in better understanding new concepts and methodology for dynamical system synchronization, local singularity theory for discontinuous dynamical systems, distinct dynamical system synchronization, and invariant domains of synchronization.

Review Quotes

From the reviews:

"Synchronization theory of dynamical systems is presented in this book. ... the book presents a different point of view for investigating synchronization between dynamical systems. ... The book is self-contained and suitable for researchers in synchronization. So it is highly recommended for readers interested in dynamical systems." (Ranchao Wu, Mathematical Reviews, December, 2013)

"The book is a very advanced study of mathematical theory of nonlinear non-smooth dynamical systems. ... There are many problems discussed and interested researchers will find there many material." (Krzysztof Galkowski, zbMATH, Vol. 1272, 2013)

About the Author

Albert C.J. Luo, Southern Illinois University Edwardsville, aluo@siue.edu