Resonant phenomena in slowly perturbed elliptic billiards
classification
🌊 nlin.CD
keywords
billiardellipticphenomenaresonanceslowlyadiabaticbilliardscapture
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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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