Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays.
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.
Sethia
Gautam C
GC
Institute for Plasma Research, Bhat, Gandhinagar 382 428, India. gautam@ipr.res.in
Sen
Abhijit
A
Atay
Fatihcan M
FM