49 citations · 167 across the 22 of their papers we have counts for
3 papers · 1 filter
Dynamics of neural fields with exponential temporal kernel
Elham Shamsara, Marius E. Yamakou, Fatihcan M. Atay +1
We consider the standard neural field equation with an exponential temporal kernel. We analyze the time-independent (static) and time-dependent (dynamic) bifurcations of the equili…
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…