缓慢微扰椭圆台球中的共振现象
混沌动力学
2007-05-23 v2
摘要
我们考虑一个形状缓慢变化的椭圆台球。在台球缓慢演化过程中，某些共振条件可以被满足。我们研究了捕获进入共振的现象以及共振上的散射，这些现象导致系统中绝热不变量的破坏。
引用
@article{arxiv.nlin/0306004,
title = {Resonant phenomena in slowly perturbed elliptic billiards},
author = {A. P. Itin and A. I. Neishtadt},
journal= {arXiv preprint arXiv:nlin/0306004},
year = {2007}
}
备注
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