Chaos in Symmetric Phase Oscillator Networks
Chaotic Dynamics
2011-12-12 v2 Disordered Systems and Neural Networks
Dynamical Systems
Abstract
Phase-coupled oscillators serve as paradigmatic models of networks of weakly interacting oscillatory units in physics and biology. The order parameter which quantifies synchronization was so far found to be chaotic only in systems with inhomogeneities. Here we show that even symmetric systems of identical oscillators may not only exhibit chaotic dynamics, but also chaotically fluctuating order parameters. Our findings imply that neither inhomogeneities nor amplitude variations are necessary to obtain chaos, i.e., nonlinear interactions of phases give rise to the necessary instabilities.
Keywords
Cite
@article{arxiv.1105.2230,
title = {Chaos in Symmetric Phase Oscillator Networks},
author = {Christian Bick and Marc Timme and Danilo Paulikat and Dirk Rathlev and Peter Ashwin},
journal= {arXiv preprint arXiv:1105.2230},
year = {2011}
}
Comments
4 pages; Accepted by Physical Review Letters