On the short-time dynamics of networks of Hebbian coupled oscillators

被引:8
作者
Vicente, CJP [1 ]
Arenas, A [1 ]
Bonilla, LL [1 ]
机构
[1] UNIV CARLOS III,DEPT MATEMAT,E-28911 LEGANES,MADRID,SPAIN
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 01期
关键词
PHASOR NEURAL NETWORKS; MEAN-FIELD THEORY; VISUAL-CORTEX; NEURONAL OSCILLATIONS; POPULATION; SYNCHRONIZATION; INCOHERENCE; STABILITY; MODELS; CAT;
D O I
10.1088/0305-4470/29/1/002
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We have analysed the collective behaviour of an assembly of coupled oscillators interacting through Hebbian synaptic weights designed to store information about the phase of each element. Our study focuses on the dynamic properties of the population showing the existence of a relevant rime-scale, useful for the processing of information.
引用
收藏
页码:L9 / L16
页数:8
相关论文
共 27 条
[1]   NETWORK OF NEURAL OSCILLATORS FOR RETRIEVING PHASE INFORMATION [J].
AOYAGI, T .
PHYSICAL REVIEW LETTERS, 1995, 74 (20) :4075-4078
[2]   PHASE-LOCKING IN A NETWORK OF NEURAL OSCILLATORS [J].
ARENAS, A ;
VICENTE, CJP .
EUROPHYSICS LETTERS, 1994, 26 (02) :79-83
[3]   NONLINEAR STABILITY OF INCOHERENCE AND COLLECTIVE SYNCHRONIZATION IN A POPULATION OF COUPLED OSCILLATORS [J].
BONILLA, LL ;
NEU, JC ;
SPIGLER, R .
JOURNAL OF STATISTICAL PHYSICS, 1992, 67 (1-2) :313-380
[4]   GLASSY SYNCHRONIZATION IN A POPULATION OF COUPLED OSCILLATORS [J].
BONILLA, LL ;
VICENTE, CJP ;
RUBI, JM .
JOURNAL OF STATISTICAL PHYSICS, 1993, 70 (3-4) :921-937
[5]  
BUCK J, 1976, SCI AM, V234, P74
[6]   THE MEAN-FIELD THEORY OF A Q-STATE NEURAL NETWORK MODEL [J].
COOK, J .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1989, 22 (12) :2057-2067
[7]  
COOLEN ACC, 1994, PHYS REV E
[8]   POPULATION-DYNAMICS OF RANDOMLY INTERACTING SELF-OSCILLATORS .1. TRACTABLE MODELS WITHOUT FRUSTRATION [J].
DAIDO, H .
PROGRESS OF THEORETICAL PHYSICS, 1987, 77 (03) :622-634
[9]   QUASI-ENTRAINMENT AND SLOW RELAXATION IN A POPULATION OF OSCILLATORS WITH RANDOM AND FRUSTRATED INTERACTIONS [J].
DAIDO, H .
PHYSICAL REVIEW LETTERS, 1992, 68 (07) :1073-1076
[10]  
DERRIDA B, 1987, J PHYS A, V4, P1