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Understanding Complex Systems

Chaos: Concepts, Control and Constructive Use

Authors: Bolotin, Yurii, Tur, Anatoli, Yanovsky, Vladimir

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About this book

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.

Reviews

From the reviews:

“This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems in order to reach a large audience from science and engineering. The presentation is organized in 8 chapters. … The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who likes to grasp quickly the main issues related to chaos in discrete and continuous time.” (Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010)

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-3-642-00937-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for USA in USD
  • ISBN 978-3-642-26922-6
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually ready to be dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Chaos: Concepts, Control and Constructive Use
Authors
Series Title
Understanding Complex Systems
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-00937-2
DOI
10.1007/978-3-642-00937-2
Softcover ISBN
978-3-642-26922-6
Series ISSN
1860-0832
Edition Number
1
Number of Pages
VIII, 198
Number of Illustrations
90 b/w illustrations
Topics

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