Time delay induced death in coupled limit cycle oscillators

被引:512
作者
Reddy, DVR [1 ]
Sen, A [1 ]
Johnston, GL [1 ]
机构
[1] Inst Plasma Res, Bhat 382428, Gandhinagar, India
关键词
D O I
10.1103/PhysRevLett.80.5109
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the dynamical behavior of two limit cycle oscillators that interact with each other via time delayed coupling and find that time delay can lead to amplitude death of the oscillators even if they have the same frequency. We demonstrate that this novel regime of amplitude "death" also exists for large collections of coupled identical oscillators and provide quantitative measures of this death region in the parameter space of coupling strength and time delay. Its implication for certain biological and physical applications is also pointed out.
引用
收藏
页码:5109 / 5112
页数:4
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共 36 条
[21]  
Kuramoto Y., 1984, PROG THEOR PHYS SUPP, V79, P223, DOI DOI 10.1143/PTPS.79.223
[22]   OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS [J].
MACKEY, MC ;
GLASS, L .
SCIENCE, 1977, 197 (4300) :287-288
[23]   PHASE-DIAGRAM FOR THE COLLECTIVE BEHAVIOR OF LIMIT-CYCLE OSCILLATORS [J].
MATTHEWS, PC ;
STROGATZ, SH .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1701-1704
[24]   DYNAMICS OF A LARGE SYSTEM OF COUPLED NONLINEAR OSCILLATORS [J].
MATTHEWS, PC ;
MIROLLO, RE ;
STROGATZ, SH .
PHYSICA D, 1991, 52 (2-3) :293-331
[25]   AMPLITUDE DEATH IN AN ARRAY OF LIMIT-CYCLE OSCILLATORS [J].
MIROLLO, RE ;
STROGATZ, SH .
JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (1-2) :245-262
[26]   FROM COLLECTIVE OSCILLATIONS TO COLLECTIVE CHAOS IN A GLOBALLY COUPLED OSCILLATOR SYSTEM [J].
NAKAGAWA, N ;
KURAMOTO, Y .
PHYSICA D, 1994, 75 (1-3) :74-80
[27]   COLLECTIVE FREQUENCIES AND METASTABILITY IN NETWORKS OF LIMIT-CYCLE OSCILLATORS WITH TIME-DELAY [J].
NIEBUR, E ;
SCHUSTER, HG ;
KAMMEN, DM .
PHYSICAL REVIEW LETTERS, 1991, 67 (20) :2753-2756
[29]   MUTUAL ENTRAINMENT OF 2 LIMIT-CYCLE OSCILLATORS WITH TIME DELAYED COUPLING [J].
SCHUSTER, HG ;
WAGNER, P .
PROGRESS OF THEORETICAL PHYSICS, 1989, 81 (05) :939-945
[30]   SYNCHRONIZATION OF INFINITELY MANY COUPLED LIMIT-CYCLE TYPE OSCILLATORS [J].
SHIINO, M ;
FRANKOWICZ, M .
PHYSICS LETTERS A, 1989, 136 (03) :103-108