Transition to Global Stochasticity

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

Abstract

For near-integrable systems with two degrees of freedom, we have seen in Chapter 3 the existence of chaotic regions surrounding the separatrices associated with resonances. These regions persist for any nonzero perturbation strength ∈, although their area tends to zero as ∈ → 0. Therefore, there is no abrupt “transition to stochasticity” at some critical ∈, and one must define carefully the meaning of any such criterion.

Keywords

Entropy Reso Berman Dispa 

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Copyright information

© Springer Science+Business Media New York 1983

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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