Billiards: A singular perturbation limit of smooth Hamiltonian flows

被引：14
|
作者：
Rom-Kedar, V. [1 ]
Turaev, D. [2 ]
机构：
[1] Weizmann Inst Sci, Dept Math, Estrin Family Chair Comp Sci & Appl Math, IL-76910 Rehovot, Israel
[2] Univ London Imperial Coll Sci Technol & Med, Dept Math, London, England
来源：
CHAOS | 2012年 / 22卷 / 02期
基金：
英国工程与自然科学研究理事会; 以色列科学基金会;
关键词：
HARD BALL SYSTEMS; CHAOTIC SCATTERING; BOUNCE TRAJECTORIES; SOFT BILLIARDS; 1ST INTEGRALS; POTENTIALS; POINTS; NONEXISTENCE; ERGODICITY; MECHANICS;
D O I：
10.1063/1.4722010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nonlinear multi-dimensional Hamiltonian systems that are not near integrable typically have mixed phase space and a plethora of instabilities. Hence, it is difficult to analyze them, to visualize them, or even to interpret their numerical simulations. We survey an emerging methodology for analyzing a class of such systems: Hamiltonians with steep potentials that limit to billiards. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4722010]
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页数：21
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