Coherent traveling waves in nonlocally coupled chaotic systems

被引：19

作者：

Dziubak, Volodymyr ^{[1
]}

Maistrenko, Yuri ^{[2
,3
,4
]}

Schoell, Eckehard ^{[4
]}

机构：

[1] Natl Univ Kyiv Mohyla Acad, Skovorody Str 2, UA-04655 Kiev, Ukraine

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

[3] Natl Acad Sci Ukraine, Ctr Med & Biotech Res, UA-01601 Kiev, Ukraine

[4] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany

来源：

PHYSICAL REVIEW E | 2013年 / 87卷 / 03期

关键词：

PATTERN-FORMATION; CHIMERA; BIFURCATION; DYNAMICS; FRONTS; STATES;

D O I：

10.1103/PhysRevE.87.032907

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：

We discuss the origin of coherent traveling wave patterns in a network of coupled chaotic Lorenz systems with nonlocal interaction. By systematically analyzing the dependence of the spatiotemporal network dynamics on the range and strength of the coupling, we uncover a bifurcation scenario for the transition from stationary patterns to regular traveling waves of different wave numbers. The transition is ruled by a symmetric homoclinic bifurcation and is accompanied by the appearance of periodic and chaotic breathing, as well as long chaotic transients. DOI:10.1103/PhysRevE.87.032907

引用

页数：5

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