Stochastic resonant media: Signal-to-noise ratio for the activator-inhibitor system through a quasivariational approach

M. N. KUPERMAN; H. S. WIO; G. IZUS; R. DEZA

PHYSICAL REVIEW E

AMER PHYSICAL SOC

Lugar: New York; Año: 1998 vol. 57 p. 5122 - 5125

1539-3755

We have made an analytical study of the phenomenon of stochastic resonance in a spatially extendedstochastic system of the activator-inhibitor kind. In its bistable regime, through a quasivariational approach wemake an approximate evaluation of the nonequilibrium potential for this system. The latter in turn allows us toobtain the probability for the decay of the ~extended! metastable states and through it the signal-to-noise ratiowithin the framework of a two-state description. The analytical results show that this ratio increases with theactivator?s diffusivity, whereas it exhibits nonmonotonic behavior against variation of the coupling betweenboth fields.