Resonant phenomena in slowly perturbed elliptic billiards

Details Resonant phenomena in slowly perturbed elliptic billiards Resonant phenomena in slowly perturbed elliptic billiards

2003-06-04

arxiv.org/abs/nlin/0306004v2

Nonlinear Sciences

Chaotic Dynamics

Comments to ver. 1: This is an improved and corrected version of a paper recently published in Regular & Chaotic Dynamics. Com

Scientific paper

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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