Mathieu Desroches

According to our database, Mathieu Desroches authored at least 26 papers between 2008 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Dynamics of a Piecewise-Linear Morris-Lecar Model: Bifurcations and Spike Adding.

J. Penalva, Mathieu Desroches, Antonio E. Teruel, Catalina Vich

J. Nonlinear Sci., June, 2024

2023

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

Anton V. Chizhov, Dmitry V. Amakhin, A. Erdem Sagtekin, Mathieu Desroches

Biol. Cybern., December, 2023

2022

Cross-scale excitability in networks of quadratic integrate-and-fire neurons.

Daniele Avitabile, Mathieu Desroches, G. Bard Ermentrout

PLoS Comput. Biol., October, 2022

Classification of bursting patterns: A tale of two ducks.

Mathieu Desroches, John Rinzel, Serafim Rodrigues

PLoS Comput. Biol., 2022

2021

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.

Louisiane Lemaire, Mathieu Desroches, Martin Krupa, Lara Pizzamiglio, Paolo Scalmani, Massimo Mantegazza

PLoS Comput. Biol., 2021

2020

Local Theory for Spatio-Temporal Canards and Delayed Bifurcations.

Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger

SIAM J. Math. Anal., 2020

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

J. Uria Albizuri, Mathieu Desroches, Martin Krupa, Serafim Rodrigues

J. Nonlinear Sci., 2020

Excitable dynamics in neural and cardiac systems.

Roberto Barrio, Stephen Coombes, Mathieu Desroches, Flavio H. Fenton, Stefan Luther, Esther Pueyo

Commun. Nonlinear Sci. Numer. Simul., 2020

2019

Modeling cortical spreading depression induced by the hyperactivity of interneurons.

Mathieu Desroches, Olivier D. Faugeras, Martin Krupa, Massimo Mantegazza

J. Comput. Neurosci., 2019

Metastable Resting State Brain Dynamics.

Peter beim Graben, Antonio Jimenez-Marin, Ibai Díez, Jesús M. Cortés, Mathieu Desroches, Serafim Rodrigues

Frontiers Comput. Neurosci., 2019

2018

Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards.

Mathieu Desroches, Vivien Kirk

SIAM J. Appl. Dyn. Syst., 2018

2017

A modular architecture for transparent computation in recurrent neural networks.

Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues

Neural Networks, 2017

2016

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

Mathieu Desroches, Antoni Guillamón, Enrique Ponce, Rafael Prohens, Serafim Rodrigues, Antonio E. Teruel

SIAM Rev., 2016

Canard-Mediated (De)Synchronization in Coupled Phantom Bursters.

Elif Köksal Ersöz, Mathieu Desroches, Martin Krupa, Frédérique Clément

SIAM J. Appl. Dyn. Syst., 2016

From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation.

John Burke, Mathieu Desroches, Albert Granados, Tasso J. Kaper, Martin Krupa, Theodore Vo

J. Nonlinear Sci., 2016

2015

Noise-induced Canard and Mixed-Mode Oscillations in Large-Scale Stochastic Networks.

Jonathan Touboul, Martin Krupa, Mathieu Desroches

SIAM J. Appl. Math., 2015

A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System.

Soledad Fernández-García, Mathieu Desroches, Martin Krupa, Frédérique Clément

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].

Mathieu Desroches, Jean-Pierre Françoise, Lucile Mégret

ARIMA J., 2015

Turing Computation with Recurrent Artificial Neural Networks.

Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues

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

2013

Numerical Continuation Techniques for Planar Slow-Fast Systems.

Peter De Maesschalck, Mathieu Desroches

SIAM J. Appl. Dyn. Syst., 2013

Extremum Seeking Via Continuation Techniques for Optimizing Biogas Production in the Chemostat.

Alain Rapaport, Jan Sieber, Serafim Rodrigues, Mathieu Desroches

Proceedings of the 9th IFAC Symposium on Nonlinear Control Systems, 2013

2012

Mixed-Mode Oscillations with Multiple Time Scales.

Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger

SIAM Rev., 2012

Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster.

Daniele Linaro, Alan R. Champneys, Mathieu Desroches, Marco Storace

SIAM J. Appl. Dyn. Syst., 2012

Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System.

Martin Krupa, Alexandre Vidal, Mathieu Desroches, Frédérique Clément

SIAM J. Appl. Dyn. Syst., 2012

On the numerical Continuation of Isolas of Equilibria.

Daniele Avitabile, Mathieu Desroches, Serafim Rodrigues

Int. J. Bifurc. Chaos, 2012

2008

The Geometry of Slow Manifolds near a Folded Node.

Mathieu Desroches, Bernd Krauskopf, Hinke M. Osinga

SIAM J. Appl. Dyn. Syst., 2008