Traveling waves in a chain of pulse-coupled oscillators

被引:46
作者
Bressloff, PC [1 ]
Coombes, S [1 ]
机构
[1] Univ Loughborough, Dept Math Sci, Nonlinear & Complex Syst Grp, Loughborough LE11 3TU, Leics, England
关键词
D O I
10.1103/PhysRevLett.80.4815
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive conditions for the existence of traveling wave solutions in a chain of pulse-coupled integrate-and-fire oscillators with nearest-neighbor interactions and distributed delays. A linear stability analysis of the traveling waves is carried out in terms of perturbations of the firing times of the oscillators. It is shown how traveling waves destabilize when the detuning between oscillators or the strength of the coupling becomes too large.
引用
收藏
页码:4815 / 4818
页数:4
相关论文
共 19 条
[1]   PULSE-COUPLED RELAXATION-OSCILLATORS - FROM BIOLOGICAL SYNCHRONIZATION TO SELF-ORGANIZED CRITICALITY [J].
BOTTANI, S .
PHYSICAL REVIEW LETTERS, 1995, 74 (21) :4189-4192
[2]   Dynamics of a ring of pulse-coupled oscillators: Group theoretic approach [J].
Bressloff, PC ;
Coombes, S ;
deSouza, B .
PHYSICAL REVIEW LETTERS, 1997, 79 (15) :2791-2794
[3]  
BRESSLOFF PC, UNPUB
[4]   THE NATURE OF THE COUPLING BETWEEN SEGMENTAL OSCILLATORS OF THE LAMPREY SPINAL GENERATOR FOR LOCOMOTION - A MATHEMATICAL-MODEL [J].
COHEN, AH ;
HOLMES, PJ ;
RAND, RH .
JOURNAL OF MATHEMATICAL BIOLOGY, 1982, 13 (03) :345-369
[5]   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
[6]   THE BEHAVIOR OF RINGS OF COUPLED OSCILLATORS [J].
ERMENTROUT, GB .
JOURNAL OF MATHEMATICAL BIOLOGY, 1985, 23 (01) :55-74
[7]  
Friedrich K., 1993, Research in Nondestructive Evaluation, V5, P31, DOI 10.1080/09349849309409540
[8]   STABILITY OF SYNCHRONIZATION IN NETWORKS OF DIGITAL PHASE-LOCKED LOOPS [J].
GOLDSZTEIN, G ;
STROGATZ, SH .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1995, 5 (04) :983-990
[9]   STIMULUS-SPECIFIC NEURONAL OSCILLATIONS IN ORIENTATION COLUMNS OF CAT VISUAL-CORTEX [J].
GRAY, CM ;
SINGER, W .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1989, 86 (05) :1698-1702
[10]   PHASE LOCKING OF JOSEPHSON-JUNCTION SERIES ARRAYS [J].
HADLEY, P ;
BEASLEY, MR ;
WIESENFELD, K .
PHYSICAL REVIEW B, 1988, 38 (13) :8712-8719