Wavelet analysis of chaotic systems

被引：1

作者：

Cattani, Carlo ^{[1
]}

Bochicchio, Ivana ^{[2
]}

机构：

[1] Univ Salerno, Difarma, Via Ponte Don Melillo, I-84084 Fisciano, Italy

[2] Univ Salerno, DMI, I-84084 Fisciano, Italy

来源：

JOURNAL OF INTERDISCIPLINARY MATHEMATICS | 2006年 / 9卷 / 03期

关键词：

Haar wavelets; short Haar wavelet transform; van der Pol Equation;

D O I：

10.1080/09720502.2006.10700456

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A nonlinear dynamical system (Van der Pol) is analyzed by investigating the behavior of the corresponding wavelet coefficients. The wavelet coefficients are strictly related to local changes, thus giving information on the differential properties of a function. The main features of the dynamical system, such as periodic motion, asymptotic stability, etc., will be given in terms of the wavelet coefficients, eventually depending on the parameter.

引用

页码：445 / 458

页数：14

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