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.
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© 1992 Springer Science+Business Media New York
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Lichtenberg, A.J., Lieberman, M.A. (1992). Three or More Degrees of Freedom. In: Regular and Chaotic Dynamics. Applied Mathematical Sciences, vol 38. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2184-3_6
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DOI: https://doi.org/10.1007/978-1-4757-2184-3_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3100-9
Online ISBN: 978-1-4757-2184-3
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