Overview
- Presents novel concepts and methodologies 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 50 illustrations
Part of the book series: Nonlinear Systems and Complexity (NSCH, volume 3)
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About this book
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.
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Keywords
Table of contents (6 chapters)
Reviews
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 Gałkowski, zbMATH, Vol. 1272, 2013)Authors and Affiliations
About the author
Albert C.J. Luo, Southern Illinois University Edwardsville, aluo@siue.edu
Bibliographic Information
Book Title: Dynamical System Synchronization
Authors: Albert C. J. Luo
Series Title: Nonlinear Systems and Complexity
DOI: https://doi.org/10.1007/978-1-4614-5097-9
Publisher: Springer New York, NY
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Science+Business Media, LLC 2013
Hardcover ISBN: 978-1-4614-5096-2Published: 22 March 2013
Softcover ISBN: 978-1-4899-8643-6Published: 16 April 2015
eBook ISBN: 978-1-4614-5097-9Published: 22 March 2013
Series ISSN: 2195-9994
Series E-ISSN: 2196-0003
Edition Number: 1
Number of Pages: VIII, 239
Topics: Complexity, Applications of Graph Theory and Complex Networks, Dynamical Systems and Ergodic Theory