CONSTRUCTION OF MULTIFRACTAL MEASURES IN DYNAMIC-SYSTEMS FROM THEIR INVARIANCE PROPERTIES

被引：9

作者：

BESSIS, D

MANTICA, G

机构：

[1] Service de Physique Théorique, Centre de Etude Nucleaire de Saclay

来源：

PHYSICAL REVIEW LETTERS | 1991年 / 66卷 / 23期

关键词：

D O I：

10.1103/PhysRevLett.66.2939

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that multifractal measures arising from the symbolic dynamics of chaotic systems can be reproduced using iterated-function systems involving Mobius maps. This powerful approximation scheme is exact for hyperbolic billiards: The coding measures of zero-angle N-sided polygonal billiards are exactly rendered by N - 1 Mobius maps. We also approximate with success the coding measures for the anisotropic Kepler system.

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页码：2939 / 2942

页数：4

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