Sethia Gautam C, Sen Abhijit, Atay Fatihcan M
Institute for Plasma Research, Bhat, Gandhinagar 382 428, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 May;81(5 Pt 2):056213. doi: 10.1103/PhysRevE.81.056213. Epub 2010 May 24.
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.
