The European Physical Journal Special Topics

, Volume 222, Issue 10, pp 2509–2515 | Cite as

Consequential noise-induced synchronization of indirectly coupled self-sustained oscillators

  • E.V. PankratovaEmail author
  • V.N. Belykh
Regular Article Nonlinear Dynamics of Stochastic Systems


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.


European Physical Journal Special Topic Noise Intensity Deterministic Case Complete Synchronization Cluster Synchronization 
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© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.Department of MathematicsVolga State AcademyNizhny NovgorodRussia

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