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在耦合混沌振子环中,周期性旋转波是如何从高维混沌中产生的?

How does a periodic rotating wave emerge from high-dimensional chaos in a ring of coupled chaotic oscillators?

作者信息

Zhang Y, Hu G, Cerdeira H A

机构信息

The Abdus Salam International Centre for Theoretical Physics, P. O. Box 586, 34100 Trieste, Italy.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):037203. doi: 10.1103/PhysRevE.64.037203. Epub 2001 Aug 21.

Abstract

A route to typical rotating waves from high-dimensional chaos is investigated in diffusively coupled chaotic Rössler oscillators. By increasing the coupling from zero, a high-dimensional spatiotemporal chaos changes into a coherent state, which is periodic in time and well ordered in space, through consecutive transitions. A crossover transition from spatially random chaos to spatially ordered chaos with phase locking and orientational equality (for two directions) breaking is a crucial step for establishing the typical spatial order of the rotating wave.

摘要

在扩散耦合的混沌罗斯勒振荡器中研究了从高维混沌通向典型旋转波的一条路径。通过将耦合从零开始增加,高维时空混沌通过连续转变变为一种相干态,该相干态在时间上是周期性的且在空间上是有序的。从空间随机混沌到具有锁相和取向平等(对于两个方向)破坏的空间有序混沌的交叉转变是建立旋转波典型空间秩序的关键步骤。

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