SOLVING THE INVERSE FRACTAL PROBLEM FROM WAVELET ANALYSIS

被引：21

作者：

ARNEODO, A ^{[1
]}

BACRY, E ^{[1
]}

MUZY, JF ^{[1
]}

机构：

[1] UNIV PARIS 07,UFR MATH,F-75251 PARIS 05,FRANCE

来源：

EUROPHYSICS LETTERS | 1994年 / 25卷 / 07期

关键词：

D O I：

10.1209/0295-5075/25/7/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We report on a wavelet-based technique for solving the inverse fractal problem. We show that one can uncover a dynamical system which leaves invariant a given fractal object from the space scale arrangement of its wavelet transform modulus maxima. Our purpose is illustrated on Bemoulli invariant measures of linear as well as non-linear <<cookie-cutters>>. Application to period-doubling dynamical systems at the onset of chaos is reported.

引用

页码：479 / 484

页数：6

共 32 条

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