Tiger's Chaos Theory

The 1960s were perhaps a decade of confusion, when scientists faced d- culties in dealing with imprecise information and complex dynamics. A new set theory and then an in?nite-valued logic of Lot?

This volume volume contains papers on the subject of chaos in the physical sciences. This volume looks at such problems as chaos in nonlinear systems, in dynamical systems, quantum chaos, biological applications, and a few new emerging areas as well.

This book attempts to present some current research progress and results on the interplay of fuzzy logic and chaos theory.

The average investor is usually unaware of the theoretical bases and academic underpinnings of various investment strategies. Investment books and popular reference guides barely mention efficient market or random walk theory, and the mathematical aspect of portfolio management theory appears as little more than a footnote. Little actually new has been added to the field of investment and market theory for the last 30 years, but recently Peters introduced the landmark Chaos and Order in the Capital Markets (1991).

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 collections of some state-of-the-art 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 the interdisciplines related, among others, to both fuzzy logic and chaos theory.

Editors: Azar, Ahmad Taher, Vaidyanathan, Sundarapandian (Eds.)
Reports on the latest methodologies for the analysis, design and control of chaotic and hyperchaotic systems
Reports on the latest applications of intelligent control
Illustrates key concepts with computer simulations

This volume provides a comprehensive overview of chaos theory.