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.

引用

页码：1483 / 1490

页数：8

共 32 条

[1]

ABBOTT LF, 1990, J PHYS A, V23, P2835

[2]

ABBOTT LF, 1991, BIOL HIGH ENERGY PHY

[3]

AMIT DJ, 1991, NETWORKS, V3, P121

[4]

CARSLAW HS, 1983, INTRO THEORY FOURIER, P270

[5] INTRINSIC FLUCTUATION AND ITS CRITICAL SCALING IN A CLASS OF POPULATIONS OF OSCILLATORS WITH DISTRIBUTED FREQUENCIES [J].

DAIDO, H .

PROGRESS OF THEORETICAL PHYSICS, 1989, 81 (04) :727-731

[6] INTRINSIC FLUCTUATIONS AND A PHASE-TRANSITION IN A CLASS OF LARGE POPULATIONS OF INTERACTING OSCILLATORS [J].

DAIDO, H .

JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) :753-800

[7] FREQUENCY PLATEAUS IN A CHAIN OF WEAKLY COUPLED OSCILLATORS .1. [J].

ERMENTROUT, GB ;

KOPELL, N .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (02) :215-237

[8]

ERMENTROUT GB, 1985, J MATH BIOL, V22, P1

[9]

FROLOV A A, 1986, Biophysics (English Translation of Biofizika), V31, P332

[10] CLUSTERING IN GLOBALLY COUPLED PHASE OSCILLATORS [J].

GOLOMB, D ;

HANSEL, D ;

SHRAIMAN, B ;

SOMPOLINSKY, H .

PHYSICAL REVIEW A, 1992, 45 (06) :3516-3530

← 1 2 3 4 →