Hyperbolic Chaos

A Physicist’s View

  • Sergey P. Kuznetsov

Table of contents

  1. Front Matter
    Pages i-xv
  2. Basic Notions and Review

    1. Front Matter
      Pages 1-1
    2. Sergey P. Kuznetsov
      Pages 3-33
    3. Sergey P. Kuznetsov
      Pages 35-56
  3. Low-Dimensional Models

  4. Higher-Dimensional Systems and Phenomena

  5. Experimental Studies

    1. Front Matter
      Pages 257-257
    2. Sergey P. Kuznetsov
      Pages 273-276
  6. Back Matter
    Pages 277-320

About this book

Introduction

"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.

 

Keywords

Chaotic attractors Chaotic attractors Chaotic attractors Dynamical system Dynamical system Dynamical system Hyperbolic attractor Hyperbolic attractor Hyperbolic attractor Plykin attractor Plykin attractor Plykin attractor Strange attractor Strange attractor Strange attractor

Authors and affiliations

  • Sergey P. Kuznetsov
    • 1
  1. 1.Kotel’nikov’s Institute of Radio-Engineering and Electronics of RASSaratov BranchSaratovRussian Federation

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-23666-2
  • Copyright Information Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-642-23665-5
  • Online ISBN 978-3-642-23666-2
  • About this book