Hyperbolic Chaos

A Physicist’s View

Authors: Kuznetsov, Sergey P.

  • Written by an experienced teacher of nonlinear dynamics and chaos theory
  • Accessible to readers with different levels of knowledge
  • Stresses applications of the mathematical theory
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  • ISBN 978-3-642-23666-2
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About this book

"Hyperbolic Chaos: A Physicist’s View” presents recent progress on uniformly hyperbolic attractors in dynamical systems from a physical rather than mathematical perspective (e.g. the Plykin attractor, the Smale – Williams solenoid). The structurally stable attractors manifest strong stochastic properties, but are insensitive to variation of functions and parameters in the dynamical systems. Based on these characteristics of hyperbolic chaos, this monograph shows how to find hyperbolic chaotic attractors in physical systems and how to design a physical systems that possess hyperbolic chaos.
 
This book is designed as a reference work for university professors and researchers in the fields of physics, mechanics, and engineering.
 
Dr. Sergey P. Kuznetsov is a professor at the Department of Nonlinear Processes, Saratov State University, Russia.

 

Reviews

From the reviews:

“The material presented in this book shows significant progress in the main directions of the research program aimed at establishing better links between the abstract theory of hyperbolic systems and real examples of chaotic systems. … Each chapter supplies a wealth of references for further studies … . This monograph will be useful for mathematicians interested in applications of the theory of hyperbolic attractors, as well as for physicists and engineers dealing with real life applications of the theory of deterministic chaos.” (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1239, 2012)


Table of contents (14 chapters)

  • Dynamical Systems and Hyperbolicity

    Kuznetsov, Sergey P.

    Pages 3-33

  • Possible Occurrence of Hyperbolic Attractors

    Kuznetsov, Sergey P.

    Pages 35-56

  • Kicked Mechanical Models and Differential Equations with Periodic Switch

    Kuznetsov, Sergey P.

    Pages 59-79

  • Non-Autonomous Systems of Coupled Self-Oscillators

    Kuznetsov, Sergey P.

    Pages 81-102

  • Autonomous Low-dimensional Systems with Uniformly Hyperbolic Attractors in the Poincaré Maps

    Kuznetsov, Sergey P.

    Pages 103-117

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-642-23666-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Hyperbolic Chaos
Book Subtitle
A Physicist’s View
Authors
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg
eBook ISBN
978-3-642-23666-2
DOI
10.1007/978-3-642-23666-2
Edition Number
1
Number of Pages
XVI, 320
Number of Illustrations and Tables
80 b/w illustrations
Additional Information
Jointly published with Higher Education Press
Topics