ASYNCHRONOUS STATES IN NETWORKS OF PULSE-COUPLED OSCILLATORS

被引:403
作者
ABBOTT, LF [1 ]
VANVREESWIJK, C [1 ]
机构
[1] BRANDEIS UNIV,CTR COMPLEX SYST,WALTHAM,MA 02254
来源
PHYSICAL REVIEW E | 1993年 / 48卷 / 02期
关键词
D O I
10.1103/PhysRevE.48.1483
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 use a mean-field approach to analyze the stability of the asynchronous state in a population of all-to-all, pulse-coupled, nonlinear oscillators. We determine the conditions that must be satisfied by the time constants and phase dependence characterizing the coupling between the oscillators in order for the asynchronous state to be stable. We also consider the effects of noise. This work complements results on synchronous states in similar models and allows us to study the validity of firing-rate models commonly used for neural networks.
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页码:1483 / 1490
页数:8
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