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Resonant phenomena in slowly perturbed elliptic billiards

A. P. Itin·A. I. Neishtadt
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Abstract

We consider an elliptic billiard whose shape slowly changes. During slow evolution of the billiard certain resonance conditions can be fulfilled. We study the phenomena of capture into a resonance and scattering on resonances which lead to the destruction of the adiabatic invariance in the system.

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A. P. Itin, A. I. Neishtadt. 2005-12-11. Resonant phenomena in slowly perturbed elliptic billiards. https://arxiv.org/abs/nlin/0306004

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