Book


Cellular Neural Networks, Multi-Scroll Chaos and Synchronization





Mustak E. Yalcin, Johan A. K. Suykens and Joos P. L. Vandewalle


World Scientific Series on Nonlinear Science, Series A - Vol. 50, Singapore, 2005 (ISBN 981-256-161-7)

http://www.esat.kuleuven.ac.be/sista/chaoslab/
http://www.wspc.com/books/chaos/5753.html





Abstract

Novel information processing systems in engineering applications which are based on nonlinear phenomena require new methodologies and design principles. This is a main perspective of the book which is based on three cornerstones: cellular neural networks, chaos and synchronization. Cellular neural networks and  their universal machine implementations offer a well-established platform for processing spatial-temporal patterns and wave computing. Multi-scroll circuits are generalizations to the original Chua's circuit, leading to chip implementable circuits with increasingly complex attractors. Several applications make use of synchronization techniques for nonlinear systems. A systematic overview is given for Lur'e representable systems with global synchronization criteria for master-slave and mutual synchronization, robust synchronization, Hinfty synchronization, time-delayed systems and impulsive synchronization. The book outlines the main concepts and mathematical descriptions as well as real electronic circuit implementations. Key applications discussed in this book are in the areas of communications, cryptography, global optimization, image and  video authentication.




Contents :

Introduction
Nonlinear systems in engineering
This book
Chapter by chapter overview
Main contributions
 
Cellular Neural/Nonlinear Networks
CNN
CNN models
CNN universal machine: a visual microprocessor
New research directions in CNNs
Conclusion
 
Multi-scroll Chaotic and Hyperchaotic Attractors
Chua's circuit
Generalized Chua's circuit
Families of scroll grid attractors
Multi-scroll hyperchaotic attractors
Scroll maps from n-scroll attractors
Lur'e representations
Conclusion
 
Synchronization of Chaotic Lur'e Systems
Synchronization
Master-slave synchronization: autonomous case
Robust synchronization
Time-delay synchronization scheme
Nonlinear Hinfty synchronization: non-autonomous case
Robust nonlinear Hinfty synchronization
Impulsive synchronization
Controller design
Examples
Conclusion
 
Engineering Applications
Chaos in communications
Chaotic systems in optimization
Random number generators and cryptography
Image/Video authentication on CNN-UM
CNN template tuning
Conclusions
 
General conclusions and future work



Readership :

Graduate students, researchers, practitioners and academics in electrical engineering and nonlinear science.

Info :

248pp, Publication date: Feb. 2005, ISBN 981-256-161-7, US$58 / £35

Order information :

World Scientific via website http://www.wspc.com/books/chaos/5753.html (click: Put in Shopping Cart + Checkout)