Mathieu Desroches

Orcid: 0000-0002-9325-4207

According to our database1, Mathieu Desroches authored at least 25 papers between 2008 and 2023.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.



In proceedings 
PhD thesis 




Single-compartment model of a pyramidal neuron, fitted to recordings with current and conductance injection.
Biol. Cybern., December, 2023

Cross-scale excitability in networks of quadratic integrate-and-fire neurons.
PLoS Comput. Biol., October, 2022

Classification of bursting patterns: A tale of two ducks.
PLoS Comput. Biol., 2022

Modeling NaV1.1/SCN1A sodium channel mutations in a microcircuit with realistic ion concentration dynamics suggests differential GABAergic mechanisms leading to hyperexcitability in epilepsy and hemiplegic migraine.
PLoS Comput. Biol., 2021

Local Theory for Spatio-Temporal Canards and Delayed Bifurcations.
SIAM J. Math. Anal., 2020

Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh-Nagumo Model.
J. Nonlinear Sci., 2020

Excitable dynamics in neural and cardiac systems.
Commun. Nonlinear Sci. Numer. Simul., 2020

Modeling cortical spreading depression induced by the hyperactivity of interneurons.
J. Comput. Neurosci., 2019

Metastable Resting State Brain Dynamics.
Frontiers Comput. Neurosci., 2019

Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards.
SIAM J. Appl. Dyn. Syst., 2018

A modular architecture for transparent computation in recurrent neural networks.
Neural Networks, 2017

Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems.
SIAM Rev., 2016

Canard-Mediated (De)Synchronization in Coupled Phantom Bursters.
SIAM J. Appl. Dyn. Syst., 2016

From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation.
J. Nonlinear Sci., 2016

Noise-induced Canard and Mixed-Mode Oscillations in Large-Scale Stochastic Networks.
SIAM J. Appl. Math., 2015

A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System.
SIAM J. Appl. Dyn. Syst., 2015

Canard-induced loss of stability across a homoclinic bifurcation [Perte de stabilité induite par des solutions canards au travers d'une bifurcation homocline].
ARIMA J., 2015

Turing Computation with Recurrent Artificial Neural Networks.
Proceedings of the NIPS Workshop on Cognitive Computation: Integrating Neural and Symbolic Approaches co-located with the 29th Annual Conference on Neural Information Processing Systems (NIPS 2015), 2015

Numerical Continuation Techniques for Planar Slow-Fast Systems.
SIAM J. Appl. Dyn. Syst., 2013

Extremum Seeking Via Continuation Techniques for Optimizing Biogas Production in the Chemostat.
Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems, 2013

Mixed-Mode Oscillations with Multiple Time Scales.
SIAM Rev., 2012

Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster.
SIAM J. Appl. Dyn. Syst., 2012

Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System.
SIAM J. Appl. Dyn. Syst., 2012

On the numerical Continuation of Isolas of Equilibria.
Int. J. Bifurc. Chaos, 2012

The Geometry of Slow Manifolds near a Folded Node.
SIAM J. Appl. Dyn. Syst., 2008