The algorithm of moving boxes to estimate Lyapunov exponents and the singularity spectrum

被引：1

作者：

Oiwa, NN ^{[1
]}

Fiedler-Ferrara, N ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil

来源：

PHYSICA A | 1998年 / 257卷 / 1-4期

关键词：

chaos; fractals; Lyapunov exponents; singularity spectrum;

D O I：

10.1016/S0378-4371(98)00177-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The attractor in usual box-counting methods is partitioned with a fixed grid. We describe an algorithm whose boxes can move into the phase space and adapt to the geometry of the attractor. Lyapunov exponents and the singularity spectrum from time series are estimated using this algorithm. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：460 / 464

页数：5

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