Wave formation by time delays in randomly coupled oscillators.
作者： Tae-Wook Ko , Seong-Ok Jeong , Hie-Tae Moon
DOI: 10.1103/PHYSREVE.69.056106
关键词:
摘要: We study the dynamics of randomly coupled oscillators when interactions between are time delayed due to finite and constant speed coupling signals. Numerical simulations show that delays, proportional Euclidean distances interacting oscillators, can induce near regular waves in addition in-phase synchronous oscillations even though coupled. discuss stability conditions for wave states states.
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sci-hub.se 参考文章(19)
Peter A. Tass, Phase Resetting in Medicine and Biology Phase Resetting in Medicine and Biology: Stochastic Modelling and Data Analysis. ,(1999) , 10.1007/978-3-540-38161-7
Hiroshi Kori, Yoshiki Kuramoto, Slow switching in globally coupled oscillators: robustness and occurrence through delayed coupling. Physical Review E. ,vol. 63, pp. 046214- ,(2001) , 10.1103/PHYSREVE.63.046214
Seon Hee Park, Seunghwan Kim, Hyeon-Bong Pyo, Sooyeul Lee, Effects of time-delayed interactions on dynamic patterns in a coupled phase oscillator system. Physical Review E. ,vol. 60, pp. 4962- 4965 ,(1999) , 10.1103/PHYSREVE.60.4962
Seong-Ok Jeong, Tae-Wook Ko, Hie-Tae Moon, Time-delayed spatial patterns in a two-dimensional array of coupled oscillators. Physical Review Letters. ,vol. 89, pp. 154104- ,(2002) , 10.1103/PHYSREVLETT.89.154104
H. G. Schuster, P. Wagner, Mutual Entrainment of Two Limit Cycle Oscillators with Time Delayed Coupling Progress of Theoretical Physics. ,vol. 81, pp. 939- 945 ,(1989) , 10.1143/PTP.81.939
Kurt Wiesenfeld, Pere Colet, Steven H. Strogatz, Synchronization Transitions in a Disordered Josephson Series Array Physical Review Letters. ,vol. 76, pp. 404- 407 ,(1996) , 10.1103/PHYSREVLETT.76.404
Matthew G Earl, Steven H Strogatz, None, Synchronization in oscillator networks with delayed coupling: a stability criterion. Physical Review E. ,vol. 67, pp. 036204- 036204 ,(2003) , 10.1103/PHYSREVE.67.036204
G.Bard Ermentrout, David Kleinfeld, Traveling Electrical Waves in Cortex: Insights from Phase Dynamics and Speculation on a Computational Role Neuron. ,vol. 29, pp. 33- 44 ,(2001) , 10.1016/S0896-6273(01)00178-7
Ernst Niebur, Heinz G. Schuster, Daniel M. Kammen, Collective frequencies and metastability in networks of limit-cycle oscillators with time delay. Physical Review Letters. ,vol. 67, pp. 2753- 2756 ,(1991) , 10.1103/PHYSREVLETT.67.2753
Kurt Wiesenfeld, Pere Colet, Steven Strogatz, Frequency locking in Josephson arrays: Connection with the Kuramoto model Physical Review E. ,vol. 57, pp. 1563- 1569 ,(1998) , 10.1103/PHYSREVE.57.1563