Chaotic Motion in Dissipative Systems

  • A. J. Lichtenberg
  • M. A. Lieberman
Part of the Applied Mathematical Sciences book series (AMS, volume 38)

Abstract

In Section 7.6 we showed how a crisis can cause a strange attractor to disappear, leading to a motion that can be transiently chaotic. A necessary condition for transient chaos, that the motion near a perturbed separatrix be chaotic, was described in Section 7.7. In this section, we consider the phenomenon of transient chaos, including a calculation of the transient distribution using a Fokker-Planck equation, and a calculation of the absorption rate into stable attracting fixed points. We also describe the transition from transient chaos to a steady state chaotic attractor due to a crisis. We defer consideration of steady state distributions for chaotic attractors to Section 8.2.

Keywords

Rayleigh Number Hopf Bifurcation Chaotic Attractor Chaotic Motion Strange Attractor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • A. J. Lichtenberg
    • 1
  • M. A. Lieberman
    • 1
  1. 1.Department of Electrical Engineering and Computer SciencesUniversity of CaliforniaBerkeleyUSA

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