Time delay induced death in coupled limit cycle oscillators

Ramana Reddy, D. V. ; Sen, A. ; Johnston, G. L. (1998) Time delay induced death in coupled limit cycle oscillators Physical Review Letters, 80 (23). pp. 5109-5112. ISSN 0031-9007

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Official URL: http://prl.aps.org/abstract/PRL/v80/i23/p5109_1

Related URL: http://dx.doi.org/10.1103/PhysRevLett.80.5109

Abstract

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.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:85273
Deposited On:02 Mar 2012 12:47
Last Modified:02 Mar 2012 12:47

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