Bifurcation Phenomena and Transition to Chaos in Dissipative Systems

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

Abstract

For motion in dissipative systems, the phase space volume contracts onto an attractor of lower dimensionality than the original space. Furthermore, as a system parameter changes, the motion on the attractor may change from regular to chaotic. Although our knowledge of chaotic behavior in dissipative systems is by no means complete, the broad features are now clear, and certain techniques to calculate the properties of the motion have emerged.

Keywords

Unstable Manifold Chaotic Motion Strange Attractor Dissipative System Basin Boundary 
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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