Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance.

@article{Lindner1999AnalyticalAT,
  title={Analytical approach to the stochastic FitzHugh-Nagumo system and coherence resonance.},
  author={Benjamin Lindner and Lutz Schimansky-Geier},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  year={1999},
  volume={60 6 Pt B},
  pages={7270-6}
}
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… CONTINUE READING
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