Nonlinear dynamics - Death by delay

被引:125
作者
Strogatz, SH
机构
[1] Cornell Univ, Dept Theoret & Appl Mech, Ithaca, NY 14853 USA
[2] Cornell Univ, Ctr Appl Math, Ithaca, NY 14853 USA
关键词
D O I
10.1038/28488
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Oscillations occur naturally in many systems (in heart muscles, fireflies, and Josephson junctions, for example). When many oscillators are coupled together, complicated collective behaviour such as wave propagation can emerge. A new phenomenon has been predicted for some sets of oscillators, when there is a time-delay in their coupling: they can drive each other to stop oscillating.
引用
收藏
页码:316 / 317
页数:2
相关论文
共 10 条
[1]   ON THE STABILITY OF COUPLED CHEMICAL OSCILLATORS [J].
BARELI, K .
PHYSICA D, 1985, 14 (02) :242-252
[2]   PHASE LOCKING OF RELATIVISTIC MAGNETRONS [J].
BENFORD, J ;
SZE, H ;
WOO, W ;
SMITH, RR ;
HARTENECK, B .
PHYSICAL REVIEW LETTERS, 1989, 62 (08) :969-971
[3]   Synchrony in an array of integrate-and-fire neurons with dendritic structure [J].
Bressloff, PC ;
Coombes, S .
PHYSICAL REVIEW LETTERS, 1997, 78 (24) :4665-4668
[4]   EXPERIMENTAL AND THEORETICAL-STUDIES OF A COUPLED CHEMICAL OSCILLATOR - PHASE DEATH, MULTISTABILITY, AND IN-PHASE AND OUT-OF-PHASE ENTRAINMENT [J].
CROWLEY, MF ;
EPSTEIN, IR .
JOURNAL OF PHYSICAL CHEMISTRY, 1989, 93 (06) :2496-2502
[5]   Delay-induced multistable synchronization of biological oscillators [J].
Ernst, U ;
Pawelzik, K ;
Geisel, T .
PHYSICAL REVIEW E, 1998, 57 (02) :2150-2162
[6]   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
[7]   On self-organized criticality and synchronization in lattice models of coupled dynamical systems [J].
Perez, CJ ;
Corral, A ;
DiazGuilera, A ;
Christensen, K ;
Arenas, A .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1996, 10 (10) :1111-1151
[8]   Time delay induced death in coupled limit cycle oscillators [J].
Reddy, DVR ;
Sen, A ;
Johnston, GL .
PHYSICAL REVIEW LETTERS, 1998, 80 (23) :5109-5112
[9]  
Stogatz S. H., 1994, NONLINEAR DYNAMICS C
[10]  
Van Vreeswijk C, 1994, J Comput Neurosci, V1, P313