Chaotic behavior in lemon-shaped billiards with elliptical and hyperbolic boundary arcs

被引：18

作者：

Lopac, V. ^{[1
,1
]}

Mrkonjić, I. ^{[1
,1
]}

Radić, D. ^{[1
,1
]}

机构：

[1] Division of Physics, Faculty of Chem. Eng. and Technology, University of Zagreb, Zagreb, Croatia

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2001年 / 64卷 / 1 II期

关键词：

Asymptotic stability - Bifurcation (mathematics) - Boundary conditions - Computational geometry - Curve fitting - Interpolation - Matrix algebra - Probability distributions - Quantum theory;

D O I：

10.1103/PhysRevE.64.016214

中图分类号：

学科分类号：

摘要：

The properties of a new family of lemon-shaped billiards, ellipse hyperbola billiards (EHB), were studied. Examining the classical parameters describing the chaotic fraction in dependence of the shape parameter, the breathing chaos phenomenon was observed. Results for the EHB billiards were also compared to those of GPB billiards.

引用

页码：1 / 016214