Chaos: Concepts, Control and Constructive Use. 1st ed. 2009

種類:

電子ブック

責任表示:

by Yurii Bolotin, Anatoli Tur, Vladimir Yanovsky

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2009

著者名:

• Bolotin, Yurii.
• Tur, Anatoli.
• Yanovsky, Vladimir.
• SpringerLink (Online service)

シリーズ名:

Understanding Complex Systems ;

ISBN:

9783642009372 [3642009379]    

注記:

Paradigm for Chaos -- Main Features of Chaotic Systems -- Reconstruction of Dynamical Systems -- Controlling Chaos -- Synchronization of Chaotic Systems -- Stochastic Resonance -- The Appearance of Regular Fluxes Without Gradients.
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 pr

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