Synchronization of coupled active rotators by common noise
Statistical Mechanics
2017-12-21 v2 Adaptation and Self-Organizing Systems
Abstract
We study the effect of common noise on coupled active rotators. While such a noise always facilitates synchrony, coupling may be attractive or repulsing. We develop an analytical approach based on a transformation to approximate angle-action variables and averaging over fast rotations. For identical rotators, we describe a transition from full to partial synchrony at a critical value of repulsive coupling. For nonidentical rotators, the most nontrivial effect occurs at moderate repulsive coupling, where a juxtaposition of phase locking with frequency repulsion (anti-entrainment) is observed. We show that the frequency repulsion obeys a nontrivial power law.
Cite
@article{arxiv.1709.08058,
title = {Synchronization of coupled active rotators by common noise},
author = {Anastasiya V. Dolmatova and Denis S. Goldobin and Arkady Pikovsky},
journal= {arXiv preprint arXiv:1709.08058},
year = {2017}
}
Comments
11 pages, 8 figures