Prevalence of marginally unstable periodic orbits in chaotic billiards

被引：24

作者：

Altmann, E. G.

Friedrich, T. ^{[2
]}

Motter, A. E. ^{[3
]}

Kantz, H. ^{[1
]}

Richter, A. ^{[2
]}

机构：

[1] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[2] Tech Univ Darmstadt, Inst Kernphys, D-64289 Darmstadt, Germany

[3] Northwestern Univ, Dept Phys & Astron, Evanston, IL 60208 USA

来源：

PHYSICAL REVIEW E | 2008年 / 77卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.77.016205

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

The dynamics of chaotic billiards is significantly influenced by coexisting regions of regular motion. Here we investigate the prevalence of a different fundamental structure, which is formed by marginally unstable periodic orbits and stands apart from the regular regions. We show that these structures both exist and strongly influence the dynamics of locally perturbed billiards, which include a large class of widely studied systems. We demonstrate the impact of these structures in the quantum regime using microwave experiments in annular billiards.

引用

页数：5