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MiS Preprint
24/2010

Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays

Gautam C. Sethia, Abhijit Sen and Fatihcan M. Atay

Abstract

We study the existence and stability of synchronous solutions in a continuum field of non-locally coupled identical phase oscillators with distance-dependent propagation delays. We present a comprehensive stability diagram in the parameter space of the system. From the numerical results a heuristic synchronization condition is suggested, and an analytic relation for the marginal stability curve is obtained. We also provide an expression in the form of a scaling relation that closely follows the marginal stability curve over the complete range of the non-locality parameter.

Received:
May 11, 2010
Published:
May 18, 2010
PACS:
05.45.Ra, 05.45.Xt, 89.75.-k
Keywords:
distance-dependent delay, phase oscillator, synchronization

Related publications

inJournal
2010 Repository Open Access
Gautam C. Sethia, Abhijit Sen and Fatihcan M. Atay

Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays

In: Physical review / E, 81 (2010) 5, p. 056213