SYNCHRONIZATION IN A LATTICE MODEL OF PULSE-COUPLED OSCILLATORS

被引:28
作者
CORRAL, A
PEREZ, CJ
DIAZGUILERA, A
ARENAS, A
机构
[1] Department de Física Fonamental, Facultat de Física, Universitat de Barcelona, E-08028 Barcelona
关键词
D O I
10.1103/PhysRevLett.75.3697
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each member of the population and their mutual interactions that ensures, in a general context, the existence of a fully synchronized regime. This condition turns out to be the same as that obtained for the globally coupled population. When the condition is not completely satisfied we find different spatial structures. This also gives some hints about self-organized criticality.
引用
收藏
页码:3697 / 3700
页数:4
相关论文
共 27 条
[1]   ASYNCHRONOUS STATES IN NETWORKS OF PULSE-COUPLED OSCILLATORS [J].
ABBOTT, LF ;
VANVREESWIJK, C .
PHYSICAL REVIEW E, 1993, 48 (02) :1483-1490
[2]   SELF-ORGANIZED CRITICALITY [J].
BAK, P ;
TANG, C ;
WIESENFELD, K .
PHYSICAL REVIEW A, 1988, 38 (01) :364-374
[3]   PULSE-COUPLED RELAXATION-OSCILLATORS - FROM BIOLOGICAL SYNCHRONIZATION TO SELF-ORGANIZED CRITICALITY [J].
BOTTANI, S .
PHYSICAL REVIEW LETTERS, 1995, 74 (21) :4189-4192
[4]   THRESHOLD EFFECTS ON SYNCHRONIZATION OF PULSE-COUPLED OSCILLATORS [J].
CHEN, CC .
PHYSICAL REVIEW E, 1994, 49 (04) :2668-2672
[5]  
Christensen K., 1992, THESIS U AARHUS DENM
[6]   SELF-ORGANIZED CRITICALITY AND SYNCHRONIZATION IN A LATTICE MODEL OF INTEGRATE-AND-FIRE OSCILLATORS [J].
CORRAL, A ;
PEREZ, CJ ;
DIAZGUILERA, A ;
ARENAS, A .
PHYSICAL REVIEW LETTERS, 1995, 74 (01) :118-121
[7]  
CORRAL A, IN PRESS
[8]  
ERMENTROUT GB, 1985, J MATH BIOL, V22, P1
[9]   SYNCHRONIZATION INDUCED BY TEMPORAL DELAYS IN PULSE-COUPLED OSCILLATORS [J].
ERNST, U ;
PAWELZIK, K ;
GEISEL, T .
PHYSICAL REVIEW LETTERS, 1995, 74 (09) :1570-1573
[10]   SELF-ORGANIZED CRITICALITY IN A STICK-SLIP PROCESS [J].
FEDER, HJS ;
FEDER, J .
PHYSICAL REVIEW LETTERS, 1991, 66 (20) :2669-2672