Optimal range of a nonlocal kernel for stochastic resonance in extended systems

B. von Haeften and H.S. Wio

Physica A: Statistical Mechanics and its Applications, 2007, vol. 376, issue C, 199-207

Abstract: Here we study stochastic resonance (SR) in a spatially extended system described by a reaction–diffusion equation for a scalar (activator-like) field including a nonlocal contribution. We assume that such a contribution arises from an effective adiabatic elimination of an auxiliary (inhibitor-like) field. Our aim is to study the role played by the range of the nonlocal kernel on the SR phenomena. We have found that increasing the nonlocal coupling reduces the system's response and that, similar to the so-called system size SR, there is an “optimal” value of the kernel's range, yielding a maximum in the system's response.

Keywords: Stochastic resonance; Reaction–diffusion systems; Lyapunov functional; Nonlocal interaction (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:376:y:2007:i:c:p:199-207

DOI: 10.1016/j.physa.2006.10.091

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