title: Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance.
abstract: We consider the FitzHugh-Nagumo system under the influence of white Gaussian 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 and the mean interspike interval and its relative standard deviation are investigated. The latter quantities allow a quantitative description of the phenomenon of coherence resonance, as comparisons with simulations show.
authors.affiliation: Institute of Physics, Humboldt-University at Berlin, Invalidenstrasse 110, D-10115 Berlin, Germany.
authors.forename: B
authors.initials: B
authors.lastname: Lindner
authors.forename: L
authors.initials: L
authors.lastname: Schimansky-Geier
mesh_terms: D000200:Action Potentials; D003198:Computer Simulation; D009474:Neurons / Q000502:physiology; D009622:Noise; D011336:Probability; D013269:Stochastic Processes; D013997:Time Factors