FRACTAL DIMENSION IN NONHYPERBOLIC CHAOTIC SCATTERING

被引：112

作者：

LAU, YT ^{[1
]}

FINN, JM ^{[1
]}

OTT, E ^{[1
]}

机构：

[1] UNIV MARYLAND,DEPT PHYS,PLASMA RES LAB,COLLEGE PK,MD 20742

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 08期

关键词：

D O I：

10.1103/PhysRevLett.66.978

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In chaotic scattering there is a Cantor set of input-variable values of zero Lebesgue measure (i.e., zero total length) on which the scattering function is singular. For cases where the dynamics leading to chaotic scattering is nonhyperbolic (e.g., there are Kolmogorov-Arnol'd-Moser tori), the nature of this singular set is fundamentally different from that in the hyperbolic case. In particular, for the nonhyperbolic case, although the singular set has zero total length, we present strong evidence that its fractal dimension is 1.

引用

页码：978 / 981

页数：4

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