Competition between noise and coupling in the induction of synchronisationD. García-Álvarez, A. Bahraminasab, A. Stefanovska and P. V. E. McClintock
Department of Physics, Lancaster University - Lancaster LA1 4YB, UK, EU
received 18 August 2009; accepted in final form 16 October 2009; published November 2009
published online 16 November 2009
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.
05.45.Xt - Synchronization; coupled oscillators.
05.10.Gg - Stochastic analysis methods (Fokker-Planck, Langevin, etc.).
05.40.Ca - Noise.
© EPLA 2009