Chapter 1. Controlling Chaos

  1. Heinz G. Schuster
  1. C. Grebogi1 and
  2. Y.-C. Lai2

Published Online: 31 MAY 2006

DOI: 10.1002/3527607455.ch1

Handbook of Chaos Control

Handbook of Chaos Control

How to Cite

Grebogi, C. and Lai, Y.-C. (1999) Controlling Chaos, in Handbook of Chaos Control (ed H. G. Schuster), Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527607455.ch1

Editor Information

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

Author Information

  1. 1

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

  2. 2

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

  • controlling chaos;
  • periodic orbit;
  • pole placement;
  • delay coordinates

Summary

This chapter contains sections titled:

  • Introduction

  • A One-Dimensional Example

  • Controlling Chaos in Two Dimensions

    • Stabilizing a Fixed Point

    • Stabilizing a Periodic Orbit of Higher Period

  • Pole placement method of controlling chaos in high dimensions

  • Use of delay coordinates

  • Discussions