Integration of Fuzzy Logic and Chaos Theory

Peter Kloeden, Zhong Li (auth.), Dr. Zhong Li, Professor Wolfgang A. Halang, Professor Guanrong Chen (eds.)3-540-26899-5, 978-3-540-26899-4

This book attempts to present some current research progress and results on the interplay of fuzzy logic and chaos theory. More specifically, this book includes a collection of some state-of-theart surveys, tutorials, and application examples written by some experts working in the interdisciplinary fields overlapping fuzzy logic and chaos theory. The content of the book covers fuzzy definition of chaos, fuzzy modeling and control of chaotic systems using both Mamdani and Takagi-Sugeno models, fuzzy model identification using genetic algorithms and neural network schemes, bifurcation phenomena and self-referencing in fuzzy systems, complex fuzzy systems and their collective behaviours, as well as some applications of combining fuzzy logic and chaotic dynamics, such as fuzzy-chaos hybrid controllers for nonlinear dynamic systems, and fuzzy-model-based chaotic cryptosystems. This book can serve as a handy reference for researchers working in interdisciplines related, among others, to both fuzzy logic and chaos theory.

Table of contents :
Beyond the Li-Yorke Definition of Chaos….Pages 1-23
Chaotic Dynamics with Fuzzy Systems….Pages 25-44
Fuzzy Modeling and Control of Chaotic Systems….Pages 45-80
Fuzzy Model Identification Using a Hybrid mGA Scheme with Application to Chaotic System Modeling….Pages 81-97
Fuzzy Control of Chaos….Pages 99-125
Chaos Control Using Fuzzy Controllers (Mamdani Model)….Pages 127-155
Digital Fuzzy Set-Point Regulating Chaotic Systems: Intelligent Digital Redesign Approach….Pages 157-183
Anticontrol of Chaos for Takagi-Sugeno Fuzzy Systems….Pages 185-227
Chaotification of the Fuzzy Hyperbolic Model….Pages 229-257
Fuzzy Chaos Synchronization via Sampled Driving Signals….Pages 259-283
Bifurcation Phenomena in Elementary Takagi-Sugeno Fuzzy Systems….Pages 285-315
Self-Reference, Chaos, and Fuzzy Logic….Pages 317-359
Chaotic Behavior in Recurrent Takagi-Sugeno Models….Pages 361-389
Theory of Fuzzy Chaos for the Simulation and Control of Nonlinear Dynamical Systems….Pages 391-414
Complex Fuzzy Systems and Their Collective Behavior….Pages 415-437
Real-Time Identification and Forecasting of Chaotic Time Series Using Hybrid Systems of Computational Intelligence….Pages 439-480
Fuzzy-Chaos Hybrid Controllers for Nonlinear Dynamic Systems….Pages 481-506
Fuzzy Model Based Chaotic Cryptosystems….Pages 507-525
Evolution of Complexity….Pages 527-578
Problem Solving via Fuzziness-Based Coding of Continuous Constraints Yielding Synergetic and Chaos-Dependent Origination Structures….Pages 579-601
Some Applications of Fuzzy Dynamic Models with Chaotic Properties….Pages 603-625