Chapter 8. Controlling Transient Chaos on Chaotic Saddles

  1. Heinz G. Schuster
  1. T. Tél1,
  2. Y.-C. Lai2 and
  3. C. Grebogi3

Published Online: 31 MAY 2006

DOI: 10.1002/3527607455.ch8

Handbook of Chaos Control

Handbook of Chaos Control

How to Cite

Tél, T., Lai, Y.-C. and Grebogi, C. (1999) Controlling Transient Chaos on Chaotic Saddles, in Handbook of Chaos Control (ed H. G. Schuster), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527607455.ch8

Editor Information

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

Author Information

  1. 1

    Institute for Theoretical Physics, Eötvös University, H–1088 Budapest, Puskin u. 5–7, Hungary

  2. 2

    Departments of Physics and Astronomy and of Mathematics, University of Kansas, Lawrence, Kansas 66045, USA

  3. 3

    Institute for Plasma Research, Department of Mathematics, Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA

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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Keywords:

  • transient chaos;
  • chaotic saddles;
  • crises;
  • fractal basin boundaries;
  • chaotic scattering

Summary

This chapter contains sections titled:

  • Introduction

  • Properties of chaotic saddles

  • The basic idea for controlling chaotic saddles

  • Comparison with controlling permanent chaos

  • Crossover around crises

  • Controlling motion on fractal basin boundaries

  • Controlling chaotic scattering

  • An improved control of chaotic saddles

  • Discussions