Time Delay Induced Death in Coupled Limit Cycle Oscillators

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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4 aps formatted revtex pages; 3 figures; to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.80.5109

We investigate the dynamical behaviour 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.

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