Solvable model of a phase oscillator network on a circle with infinite-range Mexican-hat-type interaction
Disordered Systems and Neural Networks
2015-06-04 v1 Statistical Mechanics
Chaotic Dynamics
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.
Cite
@article{arxiv.1203.1767,
title = {Solvable model of a phase oscillator network on a circle with infinite-range Mexican-hat-type interaction},
author = {Tatsuya Uezu and Tomoyuki Kimoto and Masato Okada},
journal= {arXiv preprint arXiv:1203.1767},
year = {2015}
}