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Abstract: Emergence of noise induced regularity or Coherence Resonance in nonlinearexcitable systems is well known. We explain theoretically why the normalizedvariance $V {N}$ of inter spike time intervals, which is a measure ofregularity in such systems, has a unimodal profile. Our semi-analytic treatmentof 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 testcases, namely the FitzHugh-Nagumo model and the Chemical Oscillator model.



Author: Santidan Biswas, Dibyendu Das, P. Parmananda, Anirban Sain

Source: https://arxiv.org/







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