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Nonlocal-coupling-based control of coherence resonance in an ensemble of non-excitable oscillators
Aleksey Ryabov, Vladimir V. Semenov
https://arxiv.org/abs/2603.24210 https://arxiv.org/pdf/2603.24210 https://arxiv.org/html/2603.24210
arXiv:2603.24210v1 Announce Type: new
Abstract: It is shown that nonlocal coupling provides for controlling the collective noise-induced dynamics of non-excitable oscillators in the regime of coherence resonance. This effect is demonstrated by means of numerical simulation on an example of coupled generalized Van der Pol oscillators near the saddle-node bifurcation of limit cycles. In particular, it has been established that increasing the coupling radius allows to enhance the effect of coherence resonance which is reflected in the evolution of the dependence of the correlation time on the noise intensity and the power spectrum transformations. Nonlocal coupling is considered as an intermediate option between local and global coupling topologies which are also discussed as a tool for controlling coherence resonance.
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