Abstract
We study stochastic resonance (SR) in a FitzHugh-Nagumo (FHN) system
exploiting the concept of nonequilibrium potential. We consider
two different situations: In one hand a spatially extended system
described by a reaction-diffusion equation for a scalar
(activator-like) field including a nonlocal contribution. Such a
contribution could arise through an effective adiabatic elimination
of an auxiliary (inhibitor-like) field. We studied the role played
by the range of the nonlocal kernel on the SR phenomenon, and found
that increasing the nonlocal coupling reduces the system's response
and, similarly to the so-called system size stochastic
resonance, that there is an optimal value of the kernel's range,
yielding a maximum in the system's response. On the other hand, by
means of a perturbation scheme, we have obtained the nonequilibrium
potential for the oscillatory regime of the FHN model in two
different ways, and have analyzed SR for such a situation.
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