Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance.
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.
Lindner
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Institute of Physics, Humboldt-University at Berlin, Invalidenstrasse 110, D-10115 Berlin, Germany.
Schimansky-Geier
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D000200:Action Potentials; D003198:Computer Simulation; D009474:Neurons / Q000502:physiology; D009622:Noise; D011336:Probability; D013269:Stochastic Processes; D013997:Time Factors