Novel type of amplitude spiral wave in a two-layer system

被引：12

作者：

Gao, Jihua ^{[2
]}

Xie, Lingling ^{[2
]}

Nie, Haichun ^{[1
,3
]}

Zhan, Meng ^{[1
]}

机构：

[1] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China

[2] Shenzhen Univ, Shenzhen Key Lab Special Funct Mat, Coll Mat, Shenzhen 518060, Peoples R China

[3] Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China

来源：

CHAOS | 2010年 / 20卷 / 04期

基金：

中国国家自然科学基金;

关键词：

REACTION-DIFFUSION SYSTEMS; GINZBURG-LANDAU EQUATIONS; PATTERN-FORMATION; SYNCHRONIZATION; INSTABILITIES; TURBULENCE;

D O I：

10.1063/1.3526965

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Interaction of spiral waves in a two-layer system described by a model of coupled complex Ginzburg-Landau equations with negative-feedback couplings epsilon(1) and epsilon(2) is studied. Synchronization of two spiral waves can be broadly found if epsilon(1) + epsilon(2) is sufficiently large. Prior to the synchronization, under the condition of strongly asymmetric coupling (vertical bar epsilon(1)-epsilon(2)vertical bar >> 0), a novel type of spiral wave, amplitude spiral wave, exists in the driven system. The pattern of amplitude spiral wave shows the spiral in the amplitude and without a singularity point (tip), compared to usual spiral waves known for phase with amplitude uniform far away from tips and rotating around tips. (C) 2010 American Institute of Physics. [doi:10.1063/1.3526965]

引用

页数：9

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