2012

Hyperbolic Chaos

A Physicist’s View

Authors:

ISBN: 978-3-642-23665-5 (Print) 978-3-642-23666-2 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages i-xv

  2. Basic Notions and Review

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-33

      Dynamical Systems and Hyperbolicity

    3. No Access

      Book Chapter

      Pages 35-56

      Possible Occurrence of Hyperbolic Attractors

  3. Low-Dimensional Models

    1. Front Matter

      Pages 57-57

    2. No Access

      Book Chapter

      Pages 59-79

      Kicked Mechanical Models and Differential Equations with Periodic Switch

    3. No Access

      Book Chapter

      Pages 81-102

      Non-Autonomous Systems of Coupled Self-Oscillators

    4. No Access

      Book Chapter

      Pages 103-117

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

    5. No Access

      Book Chapter

      Pages 119-139

      Parametric Generators of Hyperbolic Chaos

    6. No Access

      Book Chapter

      Pages 141-170

      Recognizing the Hyperbolicity: Cone Criterion and Other Approaches

  4. Higher-Dimensional Systems and Phenomena

    1. Front Matter

      Pages 171-171

    2. No Access

      Book Chapter

      Pages 173-200

      Systems of Four Alternately Excited Non-autonomous Oscillators

    3. No Access

      Book Chapter

      Pages 201-217

      Autonomous Systems Based on Dynamics Close to Heteroclinic Cycle

    4. No Access

      Book Chapter

      Pages 219-241

      Systems with Time-delay Feedback

    5. No Access

      Book Chapter

      Pages 243-256

      Chaos in Co-operative Dynamics of Alternately Synchronized Ensembles of Globally Coupled Self-oscillators

  5. Experimental Studies

    1. Front Matter

      Pages 257-257

    2. No Access

      Book Chapter

      Pages 259-263

      Electronic Device with Attractor of Smale-Williams Type

    3. No Access

      Book Chapter

      Pages 265-272

      Delay-time Electronic Devices Generating Trains of Oscillations with Phases Governed by Chaotic Maps

    4. No Access

      Book Chapter

      Pages 273-276

      Conclusion

  6. Back Matter

    Pages 277-320