Resonant phenomena in slowly perturbed elliptic billiards
A. P. Itin, A. I. Neishtadt
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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