Dynamics of multi-frequency oscillator ensembles with resonant coupling
Adaptation and Self-Organizing Systems
2011-06-27 v1 Pattern Formation and Solitons
Abstract
We study dynamics of populations of resonantly coupled oscillators having different frequencies. Starting from the coupled van der Pol equations we derive the Kuramoto-type phase model for the situation, where the natural frequencies of two interacting subpopulations are in relation 2:1. Depending on the parameter of coupling, ensembles can demonstrate fully synchronous clusters, partial synchrony (only one subpopulation synchronizes), or asynchrony in both subpopulations. Theoretical description of the dynamics based on the Watanabe-Strogatz approach is developed.
Cite
@article{arxiv.1103.6194,
title = {Dynamics of multi-frequency oscillator ensembles with resonant coupling},
author = {S. Lück and A. Pikovsky},
journal= {arXiv preprint arXiv:1103.6194},
year = {2011}
}
Comments
12 pages