Resonances and entrainment breakup in Kuramoto models with multimodal frequency densities

被引：6

作者：

De Smet, Filip ^{[1
]}

Aeyels, Dirk ^{[1
]}

机构：

[1] Univ Ghent, Dept Elect Energy Syst & Automat, SYSTeMS Res Grp, B-9052 Ghent, Belgium

来源：

PHYSICAL REVIEW E | 2008年 / 77卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.77.066212

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 characterize some intriguing aspects of the entrainment behavior of coupled oscillators by means of a perturbation analysis of the partially synchronized solution of the classical Kuramoto-Sakaguchi model. The analysis reveals that partial entrainment may disappear with increasing coupling strength. It also predicts the occurrence of resonances: partial entrainment is induced in oscillators with natural frequencies in specific intervals not corresponding to high oscillator densities. The results are illustrated by simulations.

引用

页数：8

共 28 条

[1] The Kuramoto model:: A simple paradigm for synchronization phenomena [J].

Acebrón, JA ;

Bonilla, LL ;

Vicente, CJP ;

Ritort, F ;

Spigler, R .

REVIEWS OF MODERN PHYSICS, 2005, 77 (01) :137-185

[2] Bifurcations and global stability of synchronized stationary states in the Kuramoto model for oscillator populations [J].

Acebrón, J.A. ;

Perales, A. ;

Spigler, R. .

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2001, 64 (1 II) :1-016218

[3] Breaking the symmetry in bimodal frequency distributions of globally coupled oscillators [J].

Acebron, JA ;

Bonilla, LL ;

De Leo, S ;

Spigler, R .

PHYSICAL REVIEW E, 1998, 57 (05) :5287-5290

[4] Existence of partial entrainment and stability of phase locking behavior of coupled oscillators [J].

Aeyels, D ;

Rogge, JA .

PROGRESS OF THEORETICAL PHYSICS, 2004, 112 (06) :921-942

[5] PERIODIC SYNCHRONIZATION IN A DRIVEN SYSTEM OF COUPLED OSCILLATORS [J].

CHOI, MY ;

KIM, YW ;

HONG, DC .

PHYSICAL REVIEW E, 1994, 49 (05) :3825-3832

[6] AMPLITUDE EXPANSIONS FOR INSTABILITIES IN POPULATIONS OF GLOBALLY-COUPLED OSCILLATORS [J].

CRAWFORD, JD .

JOURNAL OF STATISTICAL PHYSICS, 1994, 74 (5-6) :1047-1084

[7] LOWER CRITICAL DIMENSION FOR POPULATIONS OF OSCILLATORS WITH RANDOMLY DISTRIBUTED FREQUENCIES - A RENORMALIZATION-GROUP ANALYSIS [J].

DAIDO, H .

PHYSICAL REVIEW LETTERS, 1988, 61 (02) :231-234

[8] GENERIC SCALING AT THE ONSET OF MACROSCOPIC MUTUAL ENTRAINMENT IN LIMIT-CYCLE OSCILLATORS WITH UNIFORM ALL-TO-ALL COUPLING [J].

DAIDO, H .

PHYSICAL REVIEW LETTERS, 1994, 73 (05) :760-763

[9] Multibranch entrainment and scaling in large populations of coupled oscillators [J].

Daido, H .

PHYSICAL REVIEW LETTERS, 1996, 77 (07) :1406-1409

[10] Partial entrainment in the finite Kuramoto-Sakaguchi model [J].

De Smet, Filip ;

Aeyels, Dirk .

PHYSICA D-NONLINEAR PHENOMENA, 2007, 234 (02) :81-89

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