Phase chaos in coupled oscillators

被引：88

作者：

Popovych, OV ^{[1
]}

Maistrenko, YL

Tass, PA

机构：

[1] Res Ctr Julich, Inst Med & Virtual, D-52425 Julich, Germany

[2] Res Ctr Julich, Inst Neuromodulat, D-52425 Julich, Germany

[3] Res Ctr Julich, Cent Inst Elect, D-52425 Julich, Germany

[4] Natl Acad Sci Ukraine, Inst Math, UA-01601 Kiev, Ukraine

[5] Univ Hosp, Dept Stereotax & Funct Neurosurg, D-50924 Cologne, Germany

来源：

PHYSICAL REVIEW E | 2005年 / 71卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.71.065201

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A complex high-dimensional chaotic behavior, phase chaos, is found in the finite-dimensional Kuramoto model of coupled phase oscillators. This type of chaos is characterized by half of the spectrum of Lyapunov exponents being positive and the Lyapunov dimension equaling almost the total system dimension. Intriguingly, the strongest phase chaos occurs for intermediate-size ensembles. Phase chaos is a common property of networks of oscillators of very different natures, such as phase oscillators, limit-cycle oscillators, and chaotic oscillators, e.g., Rossler systems.

引用

页数：4

共 37 条

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