B. Lindner et L. Schimansky-geier, Analytical approach to the stochastic FitzHugh-Nagumo system and coherenceresonance, PHYS REV E, 60(6), 1999, pp. 7270-7276
We consider the FitzHugh-Nagumo system under the influence of white Gaussia
n noise in the excitable regime. We present an analytical approximation in
the limit of fast activator time scale. Marginal probability densities of a
reduced system and dynamical quantities such as the pulse rate are found a
nd the mean interspike interval and its relative standard deviation are inv
estigated. The latter quantities allow a quantitative description of the ph
enomenon of coherence resonance, as comparisons with simulations show. [S10
63-651X(99)04112-4].