Noise-induced large amplitude oscillations in the Morris–Lecar neuron model with class 1 excitability

E. S. Slepukhina

Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 327-340.

Résumé

We consider the Morris–Lecar neuron model with a parameter set corresponding to class 1 excitability. We study the effect of random disturbances on the model in the parametric zone where the only attractor of the deterministic system is a stable equilibrium. We show that under noise the stochastic generation of large amplitude oscillations occurs in the system. This phenomenon is confirmed by changes in distributions of random trajectories and interspike intervals. This effect is analyzed using the stochastic sensitivity function technique and the method of confidence domains. We suggest a criterion for the estimation of threshold values of noise intensity leading to the stochastic generation of oscillations.

Détail

Keywords: Morris–Lecar model, excitability, stochastic generation of large amplitude oscillations, stochastic sensitivity
Mots-clés : bifurcations.

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