activity
20082019
most citedMixed-mode oscillations in a multiple time scale phantom bursting system

50 citations · 75 across the 6 of their papers we have counts for

collaborators

6 papers

q-bio.NC2019★ 8 cited

Neuronal mechanisms for sequential activation of memory items: dynamics and reliability

Elif Köksal-Ersöz, Carlos Aguilar, Pascal Chossat +2

In this article we present a biologically inspired model of activation of memory items in a sequence. Our model produces two types of sequences, corresponding to two different type…

nlin.AO2016

Latching dynamics in neural networks with synaptic depression

Pascal Chossat, Martin Krupa, Frédéric Lavigne

Priming is the ability of the brain to more quickly activate a target concept in response to a related stimulus (prime). Experiments point to the existence of an overlap between th…

math.DS2015★ 14 cited

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…

math.DS2013

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…

math.DS2012★ 50 cited

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…

math.DS2008★ 3 cited

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…