Non-transitive maps in phase synchronization

被引：17

作者：

Baptista, MS ^{[1
]}

Pereira, T

Sartorelli, JC

Caldas, IL

Kurths, J

机构：

[1] Univ Potsdam, Inst Phys Neuen Palais 10, D-14469 Potsdam, Germany

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

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2005年 / 212卷 / 3-4期

基金：

巴西圣保罗研究基金会;

关键词：

chaotic phase synchronization; ergodic theory; temporal mappings;

D O I：

10.1016/j.physd.2005.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Concepts from Ergodic Theory are used to describe the existence of special non-transitive maps in attractors of phase synchronous chaotic oscillators. In particular, it is shown that, for a class of phase-coherent oscillators, these special maps imply phase synchronization. We illustrate these ideas in the sinusoidally forced Chua's circuit and two coupled Rossler oscillators. Furthermore, these results are extended to other coupled chaotic systems. In addition, a phase for a chaotic attractor is defined from the tangent vector of the flow. Finally, it is discussed how these maps can be used for the real-time detection of phase synchronization in experimental systems. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：216 / 232

页数：17

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