Heteroclinic Ratchets in a System of Four Coupled Oscillators
Adaptation and Self-Organizing Systems
2009-11-10 v1
Abstract
We study an unusual but robust phenomenon that appears in an example system of four coupled phase oscillators. We show that the system can have a robust attractor that responds to a specific detuning between certain pairs of the oscillators by a breaking of phase locking for arbitrary positive detunings but not for negative detunings. As the dynamical mechanism behind this is a particular type of heteroclinic network, we call this a 'heteroclinic ratchet' because of its dynamical resemblance to a mechanical ratchet.
Keywords
Cite
@article{arxiv.0811.1012,
title = {Heteroclinic Ratchets in a System of Four Coupled Oscillators},
author = {O. Karabacak and P. Ashwin},
journal= {arXiv preprint arXiv:0811.1012},
year = {2009}
}