Coherence resonance in models of an excitable neuron with both fast and slow dynamics

Robert C. Hilborn; Rebecca J. Erwin

doi:10.1016/j.physleta.2003.12.040

paper

Coherence resonance in models of an excitable neuron with both fast and slow dynamics

arXiv:q-bio/0309018 · doi:10.1016/j.physleta.2003.12.040

Abstract

We demonstrate the existence of noise-induced periodicity (coherence resonance) in both a discrete-time model and a continuous-time model of an excitable neuron. In particular, we show that the effects of noise added to the fast and slow dynamics of the models are dramatically different. A Fokker-Planck analysis gives a quantitative explanation of the effects.