Predicting the coherence resonance curve using a semi-analytical treatment

Details Predicting the coherence resonance curve using a semi-analytical treatment Predicting the coherence resonance curve using a semi-analytical treatment

2009-10-14

arxiv.org/abs/0910.2558v1

Physics

Condensed Matter

Statistical Mechanics

5 pages, 5 figures

Scientific paper

Emergence of noise induced regularity or Coherence Resonance in nonlinear excitable systems is well known. We explain theoretically why the normalized variance ($V_{N}$) of inter spike time intervals, which is a measure of regularity in such systems, has a unimodal profile. Our semi-analytic treatment of the associated spiking process produces a general yet simple formula for $V_{N}$, which we show is in very good agreement with numerics in two test cases, namely the FitzHugh-Nagumo model and the Chemical Oscillator model.

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