STABILITY OF PERIODIC OSCILLATIONS IN A NETWORK OF NEURONS WITH TIME-DELAY

被引：21
作者：
DESTEXHE, A [1 ]
机构：
[1] FREE UNIV BRUSSELS,CP 231,CAMPUS PLAINE,BLVD TRIOMPHE,B-1050 BRUSSELS,BELGIUM
来源：
PHYSICS LETTERS A | 1994年 / 187卷 / 04期
关键词：
D O I：
10.1016/0375-9601(94)90006-X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Oscillatory behavior is investigated in the case of a network of oscillatory pairs of neurons with time-delayed connections. The uniform periodic solution is obtained from the numerical integration of a system reduced to a single pair of neurons. The stability of this periodic orbit in the network is estimated from a discretization of the time axis. It is shown that the periodic solution becomes unstable as the size of the system is increased. This loss of stability results in the appearance of spatiotemporally structured behavior, such as travelling waves.
引用
收藏
页码：309 / 316
页数：8
相关论文
共 30 条
[11]   STABLE PERIODIC-SOLUTIONS TO DISCRETE AND CONTINUUM ARRAYS OF WEAKLY COUPLED NONLINEAR OSCILLATORS [J].
ERMENTROUT, GB .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1992, 52 (06) :1665-1687
[12]   A BIOLOGICALLY MOTIVATED AND ANALYTICALLY SOLUBLE MODEL OF COLLECTIVE OSCILLATIONS IN THE CORTEX .1. THEORY OF WEAK LOCKING [J].
GERSTNER, W ;
RITZ, R ;
VANHEMMEN, JL .
BIOLOGICAL CYBERNETICS, 1993, 68 (04) :363-374
[13]  
GETTING PA, 1989, ANNU REV NEUROSCI, V12, P184
[14]   PATTERNS OF SYNCHRONY IN A HETEROGENEOUS HODGKIN-HUXLEY NEURAL-NETWORK WITH WEAK-COUPLING [J].
HANSEL, D ;
MATO, G .
PHYSICA A, 1993, 200 (1-4) :662-669
[15]  
JACKLET JW, 1989, CELLULAR NEURONAL OS
[16]  
Jones E.G., 1984, CEREBRAL CORTEX
[17]   MODEL OF CELL FIRING PATTERNS DURING EPILEPTIC SEIZURES [J].
KACZMAREK, LK .
BIOLOGICAL CYBERNETICS, 1976, 22 (04) :229-234
[18]  
Koch C, 1989, METHODS NEURONAL MOD
[19]   Stimulus-Dependent Assembly Formation of Oscillatory Responses: I. Synchronization [J].
Koenig, Peter ;
Schillen, Thomas B. .
NEURAL COMPUTATION, 1991, 3 (02) :155-166
[20]   THE INTRINSIC ELECTROPHYSIOLOGICAL PROPERTIES OF MAMMALIAN NEURONS - INSIGHTS INTO CENTRAL NERVOUS-SYSTEM FUNCTION [J].
LLINAS, RR .
SCIENCE, 1988, 242 (4886) :1654-1664
123