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

Author

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  • von Haeften, B.
  • Wio, H.S.

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.

Suggested Citation

  • von Haeften, B. & Wio, H.S., 2007. "Optimal range of a nonlocal kernel for stochastic resonance in extended systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 376(C), pages 199-207.
    • Handle: RePEc:eee:phsmap:v:376:y:2007:i:c:p:199-207
    DOI: 10.1016/j.physa.2006.10.091
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