Predicting the coherence resonance curve using a semianalytical 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 interspike time intervals, which is a measure of regularity in such systems, has a unimodal profile. Our semianalytic 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.
Biswas
Santidan
S
Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai, India. santidan@phy.iitb.ac.in
Das
Dibyendu
D
Parmananda
P
P
Sain
Anirban
A
D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D009991:Oscillometry / Q000379:methods*