Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2010-03-26
Nonlinear Sciences
Adaptation and Self-Organizing Systems
accepted in Phys. Rev. E (2010)
Scientific paper
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.
Atay Fatihcan M.
Sen Abhijit
Sethia Gautam C.
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