Consequential noise-induced synchronization of indirectly coupled self-sustained oscillators
Department of Mathematics, Volga State Academy, 5A, Nesterov str., Nizhny Novgorod 603950, Russia
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Received: 16 July 2013
Revised: 13 August 2013
Published online: 28 October 2013
We consider the dynamics of identical self-sustained oscillators coupled via a common linear system (beam), which is perturbed by noise. We demonstrate that increasing the noise intensity induces complete synchronization between the oscillators and, surprisingly, their in-phase synchronization with the beam. This new phenomenon of in-phase synchronization of both the oscillators and the oscillating beam arises when the noise intensity exceeds a threshold value, and can not appear in the deterministic case where the beam stably oscillates in anti-phase with the synchronized oscillators (as it is in the case of the Huygens clocks synchronization). Similar behavior persists for slightly non-identical oscillators.
© EDP Sciences, Springer-Verlag, 2013