279 citations · 405 across the 19 of their papers we have counts for
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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…
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…
Synchronization of discrete-time dynamical networks with time-varying couplings
Wenlian Lu, Fatihcan M. Atay, Jürgen Jost
We study the local complete synchronization of discrete-time dynamical networks with time-varying couplings. Our conditions for the temporal variation of the couplings are rather g…