%0 Book Section %1 statphys23_0679 %A Wio, H.S. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K activator-inhibator nonequilibrium potential reaction-diffusion resonance statphys23 stochastic topic-3 %T Nonequilibrium potential framework for an activator-inhibitor systems: nonlocal interaction and oscillatory cases %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=679 %X 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.

@incollection{statphys23_0679, abstract = {We study stochastic resonance (SR) in a FitzHugh-Nagumo (FHN) system exploiting the concept of {\it 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 {\it system size stochastic resonance}, that there is an {\it 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.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Wio, H.S.}, biburl = {https://www.bibsonomy.org/bibtex/2ec3c4e4e7309081ed8bfd8f22a824a8e/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {ad6821a1c3f9d6ce8f91ded8ab71eaa2}, intrahash = {ec3c4e4e7309081ed8bfd8f22a824a8e}, keywords = {activator-inhibator nonequilibrium potential reaction-diffusion resonance statphys23 stochastic topic-3}, month = {9-13 July}, timestamp = {2007-06-20T10:16:26.000+0200}, title = {Nonequilibrium potential framework for an activator-inhibitor systems: nonlocal interaction and oscillatory cases}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=679}, year = 2007 }