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