Chaos: Concepts, Control and Constructive Use

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The study of chaotic behaviour in nonlinear, dynamical systems is now a well established research domain with ramifications into all fields of sciences, spanning a vast range of applications, from celestial mechanics, via climate change, to the functioning of brownian motors in cells.

A more recent discovery is that chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter itself for the system under investigation, stochastic resonance being a prime example.

The present work is putting emphasis on the latter aspects, and after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing relevant algorithms for both Hamiltonian and dissipative systems amongst others.

The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance and a survey of ratchet models.

This short and concise primer is particularly suitable for postgraduate students and non-specialist scientists from related areas, wishing to enter the field quickly and efficiently.

Author(s): Yurii Bolotin, Anatoli Tur, Vladimir Yanovsky (auth.)
Series: Understanding Complex Systems
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009

Language: English
Pages: 198
Tags: Complexity;Vibration, Dynamical Systems, Control;Complexity;Systems Theory, Control;Statistical Physics

Front Matter....Pages i-viii
Introduction....Pages 1-3
Paradigm for Chaos....Pages 5-18
Main Features of Chaotic Systems....Pages 19-34
Reconstruction of Dynamical Systems....Pages 35-50
Controlling Chaos....Pages 51-99
Synchronization of Chaotic Systems....Pages 101-133
Stochastic Resonance....Pages 135-157
The Appearance of Regular Fluxes Without Gradients....Pages 159-188
Back Matter....Pages 1-10