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Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays
Gautam C Sethia1, Abhijit Sen, Fatihcan M Atay
1Institute for Plasma Research, Bhat, Gandhinagar 382 428, India. gautam@ipr.res.in
Abstract:
We study the existence and stability of synchronous solutions in a continuum field of nonlocally 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 nonlocality parameter.
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