OSCILLATING SINGULARITIES IN LOCALLY SELF-SIMILAR FUNCTIONS

被引：37

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：

PHYSICAL REVIEW LETTERS | 1995年 / 74卷 / 24期

关键词：

D O I：

10.1103/PhysRevLett.74.4823

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Singularities induced by oscillating behavior are analyzed using the wavelet transform. We define two local exponents which allow us to characterize both the singularity strength (Hölder exponent) and the instantaneous frequency of the oscillations. Such oscillating singularities are shown to appear generically in local self-similar functions which are invariant under a nonhyperbolic mapping. We illustrate our results on both isolated singularities and nonisolated singularities appearing in fractal signals generated by nonhyperbolic iterative function systems. © 1995 The American Physical Society.

引用

页码：4823 / 4826

页数：4

共 29 条

[1] SOLVING THE INVERSE FRACTAL PROBLEM FROM WAVELET ANALYSIS [J].