Issue
EPL
Volume 88, Number 3, November 2009
Article Number 30005
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/88/30005
Published online 16 November 2009
EPL, 88 (2009) 30005
DOI: 10.1209/0295-5075/88/30005

Competition between noise and coupling in the induction of synchronisation

D. García-Álvarez, A. Bahraminasab, A. Stefanovska and P. V. E. McClintock

Department of Physics, Lancaster University - Lancaster LA1 4YB, UK, EU

david.dga@gmail.com

received 18 August 2009; accepted in final form 16 October 2009; published November 2009
published online 16 November 2009

Abstract
We apply a Fokker-Planck analysis to investigate the relative influences of coupling strength and noise on the synchronisation of two phase oscillators. We go beyond earlier studies of noise-induced synchronisation (without couplings) and coupling-induced synchronisation (without common noise) to consider both effects together, and we obtain a result that is very different from a straightforward superposition of the effects of each agent acting alone: two regimes are possible depending on which agent is inducing the synchronisation. In each regime, one agent induces and the other hinders the synchronisation. In particular we show that, counterintuitively, coupling can sometimes inhibit synchronisation.

PACS
05.45.Xt - Synchronization; coupled oscillators.
05.10.Gg - Stochastic analysis methods (Fokker-Planck, Langevin, etc.).
05.40.Ca - Noise.

© EPLA 2009