SYNCHRONIZATION INDUCED BY TEMPORAL DELAYS IN PULSE-COUPLED OSCILLATORS

被引:296
作者
ERNST, U [1 ]
PAWELZIK, K [1 ]
GEISEL, T [1 ]
机构
[1] UNIV FRANKFURT,SONDERFORSCH BEREICH NICHTLINEARE DYNAM,D-60054 FRANKFURT,GERMANY
关键词
D O I
10.1103/PhysRevLett.74.1570
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We derive return maps and phase diagrams to identify mechanisms of synchronization of pulse-coupled oscillators and emphasize the importance of temporal delays and inhibitory coupling. Optimum synchronization between two oscillators is obtained for inhibitory coupling, where delays give rise to stable in-phase synchronization; those with excitatory coupling only synchronize with a phase lag. In large ensembles of globally coupled oscillators the delayed interaction leads to new collective phenomena like synchronization in multistable clusters of common phases for inhibitory coupling; for excitatory coupling a mechanism of emerging and decaying synchronized clusters prevails. © 1995 The American Physical Society.
引用
收藏
页码:1570 / 1573
页数:4
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