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Three or More Degrees of Freedom

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

Abstract

We have seen that resonances between oscillators in two degrees of freedom lead to the formation of a dense set of resonance layers in the action space. Within each layer, stochastic motion exists. However, energy conservation prevents large excursions of the motion along the layer. Only motion across the layer is important. For a near-integrable system with a weak perturbation, the stochastic layers are isolated by KAM surfaces.

Keywords

Action Space Magnetic Surface Resonance Surface Magnetic Island Toroidal Magnetic Field 
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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