The Kuramoto model with distributed shear
Adaptation and Self-Organizing Systems
2011-09-23 v1
Abstract
We uncover a solvable generalization of the Kuramoto model in which shears (or nonisochronicities) and natural frequencies are distributed and statistically dependent. We show that the strength and sign of this dependence greatly alter synchronization and yield qualitatively different phase diagrams. The Ott-Antonsen ansatz allows us to obtain analytical results for a specific family of joint distributions. We also derive, using linear stability analysis, general formulae for the stability border of incoherence.
Cite
@article{arxiv.1109.4783,
title = {The Kuramoto model with distributed shear},
author = {Diego Pazó and Ernest Montbrió},
journal= {arXiv preprint arXiv:1109.4783},
year = {2011}
}
Comments
6 pages