NONLINEAR STABILITY OF INCOHERENCE AND COLLECTIVE SYNCHRONIZATION IN A POPULATION OF COUPLED OSCILLATORS

被引：124

作者：

BONILLA, LL

NEU, JC

SPIGLER, R

机构：

[1] UNIV PADUA,DIPARTIMENTO METODI & MODELLI MATEMAT SCI APPL,I-35131 PADUA,ITALY

[2] UNIV CALIF BERKELEY,DEPT MATH,BERKELEY,CA 94720

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 67卷 / 1-2期

关键词：

NONLINEAR OSCILLATORS; SYNCHRONIZATION; MEAN-FIELD MODEL; BIMODAL DISTRIBUTION; BIFURCATION; NONLINEAR STABILITY;

D O I：

10.1007/BF01049037

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A mean-field model of nonlinearly coupled oscillators with randomly distributed frequencies and subject to independent external white noises is analyzed in the thermodynamic limit. When the frequency distribution is bimodal, new results include subcritical spontaneous stationary synchronization of the oscillators, supercritical time-periodic synchronization, bistability, and hysteretic phenomena. Bifurcating synchronized states are asymptotically constructed near bifurcation values of the coupling strength, and their nonlinear stability properties ascertained.

引用

页码：313 / 380

页数：68

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