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most citedLevy noise-induced self-induced stochastic resonance in a memristive neuron

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math.DS2018

Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model

Marius E. Yamakou, Tat Dat Tran, Luu Hoang Duc +1

In this paper, we provide a complete mathematical construction for a stochastic leaky-integrate-and-fire model (LIF) mimicking the interspike interval (ISI) statistics of a stochas…

math.DS2017

Weak-noise-induced transitions with inhibition and modulation of neural oscillations

Marius E. Yamakou, Jürgen Jost

We analyze the effect of weak-noise-induced transitions on the dynamics of the FitzHugh-Nagumo neuron model in a bistable state consisting of a stable fixed point and a stable unfo…