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

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

2012-03-08

arxiv.org/abs/1203.1767v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

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.

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