SCALING INVARIANCE IN A TIME-DEPENDENT ELLIPTICAL BILLIARD

被引：11
|
作者：
Oliveira, Diego F. M. [1 ]
Robnik, Marko [1 ]
机构：
[1] Univ Maribor, CAMTP, SI-2000 Maribor, Slovenia
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2012年 / 22卷 / 09期
关键词：
Billiards; Fermi acceleration; scaling; CHAOTIC DYNAMICS; ENERGY;
D O I：
10.1142/S0218127412502070
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study some dynamical properties of a classical time-dependent elliptical billiard. We consider periodically moving boundary and collisions between the particle and the boundary are assumed to be elastic. Our results confirm that although the static elliptical billiard is an integrable system, after introducing time-dependent perturbation on the boundary the unlimited energy growth is observed. The behavior of the average velocity is described using scaling arguments.
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页数：7
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