DIRECT DYNAMICAL TEST FOR DETERMINISTIC CHAOS

被引：36

作者：

GAO, J

ZHENG, Z

机构：

[1] Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences, Beijing

来源：

EUROPHYSICS LETTERS | 1994年 / 25卷 / 07期

关键词：

D O I：

10.1209/0295-5075/25/7/002

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a direct and dynamical method to distinguish low-dimensional deterministic chaos from noise. We define a series of time-dependent curves which are closely related to the largest Lyapunov exponent. For a chaotic time series, there exists an envelope to the time-dependent curves, while for a white noise or a noise with the same power spectrum as that of a chaotic time series, the envelope cannot be defined. When a noise is added to a chaotic time series, the envelope is eventually destroyed with the increasing of the amplitude of the noise.

引用

页码：485 / 490

页数：6

共 18 条

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