Chaotic scattering on a double well: Periodic orbits, symbolic dynamics, and scaling

被引：13

作者：

Daniels, Vincent ^{[1
]}

Vallieres, Michel ^{[1
]}

Yuan, Jian-Min ^{[1
]}

机构：

[1] Drexel Univ, Dept Phys & Atmospher Sci, Philadelphia, PA 19104 USA

来源：

CHAOS | 1993年 / 3卷 / 04期

关键词：

D O I：

10.1063/1.165953

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate classical scattering of particles by a double-well potential. Irregularity in the scattering functions, such as scattering angle and escape time, appears when the collision energy is lowered below a threshold value. This threshold is closely related to the appearance of periodic orbits with energies above the potential maxima. We study the scattering as a function of the energy and impact parameter. In this initial parameter space the scattering functions consist of regular regions interlaced with chaotic rivers. A symbolic dynamics has been developed to organize these structures and used to reveal their scaling properties.

引用

页码：475 / 485

页数：11

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