50 citations · 75 across the 6 of their papers we have counts for
4 papers · 1 filter
From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation
J. Burke, M. Desroches, A. Granados +3
We study canard solutions of the forced van der Pol (fvdP) equation in the relaxation limit for low-, intermediate-, and high-frequency periodic forcing. A central numerical observ…
Border collision bifurcations of stroboscopic maps in periodically driven spiking models
Albert Granados, Martin Krupa, Frédérique Clément
In this work we consider a general non-autonomous hybrid system based on the integrate-and-fire model, widely used as simplified version of neuronal models and other types of excit…
Mixed-mode oscillations in a multiple time scale phantom bursting system
Maciej Krupa, Alexandre Vidal, Mathieu Desroches +1
In this work we study mixed mode oscillations in a model of secretion of GnRH (Gonadotropin Releasing Hormone). The model is a phantom burster consisting of two feedforward coupled…
A novel canard-based mechanism for mixed-mode oscillations in a neuronal model
Jozsi Jalics, Martin Krupa, Horacio G. Rotstein
We analyze a biophysical model of a neuron from the entorhinal cortex that includes persistent sodium and slow potassium as non-standard currents using reduction of dimension and d…