Resonant Phenomena in Slowly Perturbed Elliptic Billiards

    2003, Volume 8, Number 1, pp.  59-66

    Author(s): Itin A. P., Neishtadt A. I.

    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 a resonance which lead to the destruction of the adiabatic invariance in the system.
    Citation: Itin A. P., Neishtadt A. I., Resonant Phenomena in Slowly Perturbed Elliptic Billiards, Regular and Chaotic Dynamics, 2003, Volume 8, Number 1, pp. 59-66
    DOI: 10.1070/RD2003v008n01ABEH000225


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