Predicting the coherence resonance curve using a semi-analytical treatment

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 treat...

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Veröffentlicht in:	arXiv.org 2009-10
Hauptverfasser:	Biswas, Santidan, Das, Dibyendu, Parmananda, P, Sain, Anirban
Format:	Artikel
Sprache:	eng
Schlagworte:	Coherence Mathematical models Noise prediction Nonlinear systems Organic chemistry Physics - Statistical Mechanics Regularity
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Beschreibung
Zusammenfassung:	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.
ISSN:	2331-8422
DOI:	10.48550/arxiv.0910.2558