FRACTAL PROPERTIES OF SCATTERING SINGULARITIES

被引：142

作者：

ECKHARDT, B ^{[1
]}

机构：

[1] WEIZMANN INST SCI,DEPT CHEM PHYS,IL-76100 REHOVOT,ISRAEL

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1987年 / 20卷 / 17期

关键词：

D O I：

10.1088/0305-4470/20/17/030

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The authors discuss properties of the set of scattering singularities in regions of irregular scattering. The authors show how a symbolic organisation of the set can be used to determine the fractal dimension and the scaling function. These yields information on the distribution of Lyapunov exponents of bounded orbits. The specific model studied is the motion of a particle in a plane, elastically reflected by three circular discs centred on the corners of an equilateral triangle.

引用

页码：5971 / 5979

页数：9

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