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Chapter 9. Periodic Orbit Theory for Classical Chaotic Systems

  1. Heinz G. Schuster
  1. R. Artuso1,2

Published Online: 31 MAY 2006

DOI: 10.1002/3527607455.ch9

Book Title

Handbook of Chaos Control

Handbook of Chaos Control

Additional Information

How to Cite

Artuso, R. (2006) Periodic Orbit Theory for Classical Chaotic Systems, in Handbook of Chaos Control (ed H. G. Schuster), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527607455.ch9

Editor Information

  1. University of Kiel, Institute of Theoretical Physics, Leibnizstr. 15, D-24098 Kiel, Germany

Author Information

  1. 1

    Istituto di Scienze Matematiche, Fisiche e Chimiche, Via Lucini 3, 1–22100 Como, Italy

  2. 2

    Istituto Nazionale di Fisica della Materia, Unitá di Milano and I.N.F.N. Sezione di Milano, Milano, Italy

Publication History

  1. Published Online: 31 MAY 2006
  2. Published Print: 23 FEB 1999

ISBN Information

Print ISBN: 9783527294367

Online ISBN: 9783527607457

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CHAPTER TOOLS

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Keywords:

  • periodic orbit theory;
  • classical chaotic systems;
  • strange repellers;
  • cyclic expansions;
  • measure of chaos;
  • orbit-theory of determistic diffusion;
  • fixed points

Summary

This chapter contains sections titled:

  • Introduction

  • Strange repellers and cycle expansions

  • Recycling measure of chaos

  • Periodic orbit-theory of deterministic diffusion

  • The inclusion of marginal fixed points

  • Conclusions

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