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2020 – today
- 2024
[j24]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): 52 (2024)- 2023
- [j23]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): 433-451 (2023) - 2022
- [j22]Mathieu Desroches
, John Rinzel, Serafim Rodrigues:
Classification of bursting patterns: A tale of two ducks. PLoS Comput. Biol. 18(2) (2022) - [j21]Daniele Avitabile, Mathieu Desroches, G. Bard Ermentrout:
Cross-scale excitability in networks of quadratic integrate-and-fire neurons. PLoS Comput. Biol. 18(10): 1010569 (2022) - 2021
- [j20]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) - 2020
- [j19]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: 105275 (2020) - [j18]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): 3265-3291 (2020) - [j17]Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger:
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations. SIAM J. Math. Anal. 52(6): 5703-5747 (2020)
2010 – 2019
- 2019
- [j16]Peter beim Graben, Antonio Jimenez-Marin, Ibai Díez, Jesús M. Cortés, Mathieu Desroches, Serafim Rodrigues:
Metastable Resting State Brain Dynamics. Frontiers Comput. Neurosci. 13: 62 (2019) - [j15]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): 125-140 (2019) - 2018
- [j14]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): 1989-2017 (2018) - 2017
- [j13]Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues:
A modular architecture for transparent computation in recurrent neural networks. Neural Networks 85: 85-105 (2017) - 2016
- [j12]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): 405-451 (2016) - [j11]Elif Köksal Ersöz, Mathieu Desroches, Martin Krupa, Frédérique Clément:
Canard-Mediated (De)Synchronization in Coupled Phantom Bursters. SIAM J. Appl. Dyn. Syst. 15(1): 580-608 (2016) - [j10]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): 653-691 (2016) - [i2]Giovanni Sirio Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues:
A modular architecture for transparent computation in Recurrent Neural Networks. CoRR abs/1609.01926 (2016) - 2015
- [j9]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) - [j8]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): 643-673 (2015) - [j7]Jonathan Touboul, Martin Krupa, Mathieu Desroches:
Noise-induced Canard and Mixed-Mode Oscillations in Large-Scale Stochastic Networks. SIAM J. Appl. Math. 75(5): 2024-2049 (2015) - [c2]Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues:
Turing Computation with Recurrent Artificial Neural Networks. CoCo@NIPS 2015 - [i1]Giovanni S. Carmantini, Peter beim Graben, Mathieu Desroches, Serafim Rodrigues:
Turing Computation with Recurrent Artificial Neural Networks. CoRR abs/1511.01427 (2015) - 2013
- [j6]Peter De Maesschalck, Mathieu Desroches:
Numerical Continuation Techniques for Planar Slow-Fast Systems. SIAM J. Appl. Dyn. Syst. 12(3): 1159-1180 (2013) - [c1]Alain Rapaport, Jan Sieber, Serafim Rodrigues, Mathieu Desroches:
Extremum Seeking Via Continuation Techniques for Optimizing Biogas Production in the Chemostat. NOLCOS 2013: 152-157 - 2012
- [j5]Daniele Avitabile, Mathieu Desroches, Serafim Rodrigues:
On the numerical Continuation of Isolas of Equilibria. Int. J. Bifurc. Chaos 22(11) (2012) - [j4]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): 939-962 (2012) - [j3]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): 1458-1498 (2012) - [j2]Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger:
Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. 54(2): 211-288 (2012)
2000 – 2009
- 2008
- [j1]Mathieu Desroches, Bernd Krauskopf, Hinke M. Osinga:
The Geometry of Slow Manifolds near a Folded Node. SIAM J. Appl. Dyn. Syst. 7(4): 1131-1162 (2008)
Coauthor Index
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