2003/06/04 by A. P. Itin, А. И. Нейштадт, Itin, A. P. +2
Computer Science · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Scientific Research and Discoveries #nlin.CD
paper · pdf · doi:10.48550/arxiv.nlin/0306004
Comments to ver. 1: This is an improved and corrected version of a paper recently published in Regular & Chaotic Dynamics. Comments to ver. 2: Compared to version 1, the figures were incorporated into manuscript file for convenience, no other changes
openalex publication_date 2003/06/04 · arxiv created 2005/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.