Effects of spatial frequency distributions on amplitude death in an array of coupled Landau-Stuart oscillators

被引：19

作者：

Wu, Ye ^{[2
,3
]}

Liu, Weiqing ^{[1
]}

Xiao, Jinghua ^{[2
,3
]}

Zou, Wei ^{[4
,5
,6
]}

Kurths, Juergen ^{[5
,6
,7
]}

机构：

[1] Jiangxi Univ Sci & Technol, Sch Sci, Ganzhou 341000, Peoples R China

[2] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China

[3] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[4] Huazhong Univ Sci & Technol, Sch Math & Sci, Wuhan 430074, Peoples R China

[5] Univ Berlin, Inst Phys, D-12489 Berlin, Germany

[6] Potsdam Inst Climate Impact Res, D-14415 Potsdam, Germany

[7] Univ Aberdeen, Inst Complex Syst & Math Biol, Aberdeen AB24 3FX, Scotland

来源：

PHYSICAL REVIEW E | 2012年 / 85卷 / 05期

基金：

巴西圣保罗研究基金会; 中国国家自然科学基金;

关键词：

SYNCHRONIZATION;

D O I：

10.1103/PhysRevE.85.056211

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：

The influences of spatial frequency distributions on complete amplitude death are explored by studying an array of diffusively coupled oscillators. We found that with all possible sets of spatial frequency distributions, the two critical coupling strengths epsilon(c1) (lower-bounded value) and epsilon(c2) (upper-bounded value) needed to get complete amplitude death exhibit a universal power law and a log-normal distribution respectively, which has long tails in both cases. This is significant for dynamics control, since large variations of epsilon(c1) and epsilon(c2) are possible for some spatial arrangements. Moreover, we explore optimal spatial distributions with the smallest (largest) epsilon(c1) or epsilon(c2).

引用

页数：6