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arXiv · 1203.1767

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

Tatsuya Uezu·Tomoyuki Kimoto·Masato Okada
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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.

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Tatsuya Uezu, Tomoyuki Kimoto, Masato Okada. 2012-03-08. Solvable model of a phase oscillator network on a circle with infinite-range Mexican-hat-type interaction. https://doi.org/10.1143/jpsj.81.073001

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