Solvable model of a phase oscillator network on a circle with infinite-range Mexican-hat-type interaction

Abstract

We describe a solvable model of a phase oscillator network on a circle with infinite-range Mexican-hat-type interaction. We derive self-consistent equations of the order parameters and obtain three non-trivial solutions characterized by the rotation number. We also derive relevant characteristics such as the location-dependent distributions of the resultant frequencies of desynchronized oscillators. Simulation results closely agree with the theoretical ones.

References in corpus (2)

• Statistical mechanics and dynamics of solvable models with long-range interactions
• Center manifold reduction for large populations of globally coupled phase oscillators

Cited by in corpus (1)

• Correspondence between phase oscillator network and classical XY model with the same infinite-range interaction in statics