Time delay in the Kuramoto model with bimodal frequency distribution

被引：48

作者：

Montbrio, Ernest ^{[1
]}

Pazo, Diego

Schmidt, Juergen

机构：

[1] Univ Pompeu Fabra, Dept Technol, Barcelona 08003, Spain

[2] Univ Illes Balears, Dept Fis, Palma de Mallorca 07122, Spain

[3] UIB, CSIC, IMEDEA, Inst Mediterrani Estudis Avancats, Palma de Mallorca 07122, Spain

[4] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[5] Univ Potsdam, Inst Phys, D-14415 Potsdam, Germany

来源：

PHYSICAL REVIEW E | 2006年 / 74卷 / 05期

关键词：

D O I：

10.1103/PhysRevE.74.056201

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 investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions of parameter space corresponding to synchronized and incoherent solutions are obtained both numerically and analytically for particular frequency distributions. In particular, we find that bimodality introduces a new time scale that results in a quasiperiodic disposition of the regions of incoherence.

引用

页数：5

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