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
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页数：5
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