Instantaneous phase method in studying chaotic and stochastic oscillations and its limitations

被引：12

作者：

Anishchenko, VS ^{[1
]}

Vadivasova, TE ^{[1
]}

Strelkova, GI ^{[1
]}

机构：

[1] Saratov NG Chernyshevskii State Univ, Dept Phys, Inst Nonlinear Dynam, Saratov 410012, Russia

来源：

FLUCTUATION AND NOISE LETTERS | 2004年 / 4卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

chaotic and stochastic oscillations; spiral and funnel chaos; instantaneous phase; mean frequency; synchronization;

D O I：

10.1142/S0219477504001835

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the behavior of an instantaneous phase and mean frequency of chaotic self-sustained oscillations and noise-induced stochastic oscillations. The results obtained by using various methods of the phase definition are compared to each other. We also compare two methods for describing synchronization of chaotic self-sustained oscillations, namely, instantaneous phase locking and locking of characteristic frequencies in power spectra. It is shown that the technique for diagnostics of the chaos synchronization based on the instantaneous phase locking is not universal.

引用

页码：L219 / L229

页数：11

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