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Phys. Rev. Lett. 80, 5109–5112 (1998)

Time Delay Induced Death in Coupled Limit Cycle Oscillators

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D. V. Ramana Reddy*, A. Sen, and G. L. Johnston
Institute for Plasma Research, Bhat, Gandhinagar 382428, India

Received 19 December 1997; published in the issue dated 8 June 1998

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.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.80.5109
DOI:
10.1103/PhysRevLett.80.5109
PACS:
05.45.+b, 87.10.+e

*Email address: tapovan@plasma.ernet.in

Permanent address: 12 Billings Street, Acton, MA 01720.