Mathieu Desroches

Publication Activity (10 Years)

Years Active: 2008-2024
Publications (10 Years): 16

Top Topics

Recurrent Neural Networks

Modular Architecture

Piecewise Linear

Top Venues

J. Nonlinear Sci.

SIAM J. Appl. Dyn. Syst.

PLoS Comput. Biol.

Publications

J. Penalva, Mathieu Desroches, Antonio E. Teruel, Catalina Vich
Dynamics of a Piecewise-Linear Morris-Lecar Model: Bifurcations and Spike Adding. J. Nonlinear Sci. 34 (3) (2024)
Anton V. Chizhov, Dmitry V. Amakhin, A. Erdem Sagtekin, Mathieu Desroches
Single-compartment model of a pyramidal neuron, fitted to recordings with current and conductance injection. Biol. Cybern. 117 (6) (2023)
Mathieu Desroches, John Rinzel, Serafim Rodrigues
Classification of bursting patterns: A tale of two ducks. PLoS Comput. Biol. 18 (2) (2022)
Daniele Avitabile, Mathieu Desroches, G. Bard Ermentrout
Cross-scale excitability in networks of quadratic integrate-and-fire neurons. PLoS Comput. Biol. 18 (10) (2022)
Louisiane Lemaire, Mathieu Desroches, Martin Krupa, Lara Pizzamiglio, Paolo Scalmani, Massimo Mantegazza
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. 17 (7) (2021)
Roberto Barrio, Stephen Coombes, Mathieu Desroches, Flavio H. Fenton, Stefan Luther, Esther Pueyo
Excitable dynamics in neural and cardiac systems. Commun. Nonlinear Sci. Numer. Simul. 86 (2020)
Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations. SIAM J. Math. Anal. 52 (6) (2020)
J. Uria Albizuri, Mathieu Desroches, Martin Krupa, Serafim Rodrigues
Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh-Nagumo Model. J. Nonlinear Sci. 30 (6) (2020)
Mathieu Desroches, Olivier D. Faugeras, Martin Krupa, Massimo Mantegazza
Modeling cortical spreading depression induced by the hyperactivity of interneurons. J. Comput. Neurosci. 47 (2-3) (2019)
Peter beim Graben, Antonio Jimenez-Marin, Ibai Díez, Jesús M. Cortés, Mathieu Desroches, Serafim Rodrigues
Metastable Resting State Brain Dynamics. Frontiers Comput. Neurosci. 13 (2019)
Mathieu Desroches, Vivien Kirk
Spike-Adding in a Canonical Three-Time-Scale Model: Superslow Explosion and Folded-Saddle Canards. SIAM J. Appl. Dyn. Syst. 17 (3) (2018)
Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues
A modular architecture for transparent computation in recurrent neural networks. Neural Networks 85 (2017)
Elif Köksal Ersöz, Mathieu Desroches, Martin Krupa, Frédérique Clément
Canard-Mediated (De)Synchronization in Coupled Phantom Bursters. SIAM J. Appl. Dyn. Syst. 15 (1) (2016)
Giovanni Sirio Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues
A modular architecture for transparent computation in Recurrent Neural Networks. CoRR (2016)
John Burke, Mathieu Desroches, Albert Granados, Tasso J. Kaper, Martin Krupa, Theodore Vo
From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation. J. Nonlinear Sci. 26 (2) (2016)
Mathieu Desroches, Antoni Guillamón, Enrique Ponce, Rafael Prohens, Serafim Rodrigues, Antonio E. Teruel
Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems. SIAM Rev. 58 (4) (2016)
Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues
Turing Computation with Recurrent Artificial Neural Networks. CoCo@NIPS (2015)
Mathieu Desroches, Jean-Pierre Françoise, Lucile Mégret
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. 20 (2015)
Jonathan Touboul, Martin Krupa, Mathieu Desroches
Noise-induced Canard and Mixed-Mode Oscillations in Large-Scale Stochastic Networks. SIAM J. Appl. Math. 75 (5) (2015)
Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues
Turing Computation with Recurrent Artificial Neural Networks. CoRR (2015)
Soledad Fernández-García, Mathieu Desroches, Martin Krupa, Frédérique Clément
A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System. SIAM J. Appl. Dyn. Syst. 14 (2) (2015)
Peter De Maesschalck, Mathieu Desroches
Numerical Continuation Techniques for Planar Slow-Fast Systems. SIAM J. Appl. Dyn. Syst. 12 (3) (2013)
Alain Rapaport, Jan Sieber, Serafim Rodrigues, Mathieu Desroches
Extremum Seeking Via Continuation Techniques for Optimizing Biogas Production in the Chemostat. NOLCOS (2013)
Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger
Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. 54 (2) (2012)
Martin Krupa, Alexandre Vidal, Mathieu Desroches, Frédérique Clément
Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System. SIAM J. Appl. Dyn. Syst. 11 (4) (2012)
Daniele Avitabile, Mathieu Desroches, Serafim Rodrigues
On the numerical Continuation of Isolas of Equilibria. Int. J. Bifurc. Chaos 22 (11) (2012)
Daniele Linaro, Alan R. Champneys, Mathieu Desroches, Marco Storace
Codimension-Two Homoclinic Bifurcations Underlying Spike Adding in the Hindmarsh-Rose Burster. SIAM J. Appl. Dyn. Syst. 11 (3) (2012)
Mathieu Desroches, Bernd Krauskopf, Hinke M. Osinga
The Geometry of Slow Manifolds near a Folded Node. SIAM J. Appl. Dyn. Syst. 7 (4) (2008)