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Aleksey Ryabov

Publications and source records attributed to Aleksey Ryabov.

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Coherence resonance control via nonlocal coupling in an ensemble of non-excitable oscillators

Nonlocal interaction is shown to be an appropriate tool for controlling coherence resonance in ensembles of non-excitable oscillators. The constructive role of nonlocal coupling is demonstrated through numerical simulations on an example of coupled generalized Van der Pol oscillators close to the saddle-node bifurcation of limit cycles. In particular, increasing the coupling radius is found to enhance coherence resonance, which manifests itself in the evolution of power spectra and dependencies of the correlation time on the noise intensity. Nonlocal coupling is interpreted as an intermediate topology between local and global coupling, both of which are also examined as mechanisms for controlling coherence resonance.

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Nonlocal-coupling-based control of coherence resonance

We demonstrate that nonlocal coupling enables control of the collective stochastic dynamics in the regime of coherence resonance. The control scheme based on the nonlocal interaction properties is presented by means of numerical simulation on an example of coupled FitzHugh-Nagumo oscillators. In particular, increasing the coupling radius is shown to enhance or to suppress the effect of coherence resonance which is reflected in the evolution of the dependence of the correlation time and the deviation of interspike intervals on the noise intensity. Nonlocal coupling is considered as an intermediate option between local and global coupling topologies which are also discussed in the context of the coherence resonance control.

nlin.AO