Mathieu Desroches
Mathieu Desroches
Permanent Researcher, Inria, Sophia Antipolis Research Centre
Verified email at inria.fr - Homepage
Title
Cited by
Cited by
Year
Mixed-mode oscillations with multiple time scales
M Desroches, J Guckenheimer, B Krauskopf, C Kuehn, HM Osinga, ...
Siam Review 54 (2), 211-288, 2012
3782012
Mixed-mode oscillations and slow manifolds in the self-coupled FitzHugh-Nagumo system
M Desroches, B Krauskopf, HM Osinga
Chaos: An Interdisciplinary Journal of Nonlinear Science 18 (1), 015107, 2008
842008
Numerical continuation of canard orbits in slow–fast dynamical systems
M Desroches, B Krauskopf, HM Osinga
Nonlinearity 23 (3), 739, 2010
762010
Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster
M Desroches, TJ Kaper, M Krupa
Chaos: An Interdisciplinary Journal of Nonlinear Science 23 (4), 046106, 2013
752013
The geometry of slow manifolds near a folded node
M Desroches, B Krauskopf, HM Osinga
SIAM Journal on Applied Dynamical Systems 7 (4), 1131-1162, 2008
742008
Codimension-two homoclinic bifurcations underlying spike adding in the Hindmarsh--Rose burster
D Linaro, A Champneys, M Desroches, M Storace
SIAM Journal on Applied Dynamical Systems 11 (3), 939-962, 2012
532012
A showcase of torus canards in neuronal bursters
J Burke, M Desroches, AM Barry, TJ Kaper, MA Kramer
The Journal of Mathematical Neuroscience 2 (1), 3, 2012
502012
Canards and curvature: nonsmooth approximation by pinching
M Desroches, MR Jeffrey
Nonlinearity 24 (5), 1655, 2011
442011
Mixed-mode oscillations in a multiple time scale phantom bursting system
M Krupa, A Vidal, M Desroches, F Clément
SIAM Journal on Applied Dynamical Systems 11 (4), 1458-1498, 2012
422012
Inflection, canards and excitability threshold in neuronal models
M Desroches, M Krupa, S Rodrigues
Journal of mathematical biology 67 (4), 989-1017, 2013
412013
Canards in piecewise-linear systems: explosions and super-explosions
M Desroches, E Freire, SJ Hogan, E Ponce, P Thota
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2013
372013
On the dynamics of the adenylate energy system: homeorhesis vs homeostasis
M Ildefonso, JM Cortés, E Valero, M Desroches, S Rodrigues, I Malaina, ...
PLoS One 9 (10), e108676, 2014
362014
Canards, folded nodes, and mixed-mode oscillations in piecewise-linear slow-fast systems
M Desroches, A Guillamon, E Ponce, R Prohens, S Rodrigues, AE Teruel
SIAM review 58 (4), 653-691, 2016
332016
Canards and curvature: the ‘smallness of ϵ’ in slow–fast dynamics
M Desroches, MR Jeffrey
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2011
322011
Short-term synaptic plasticity in the deterministic Tsodyks–Markram model leads to unpredictable network dynamics
JM Cortes, M Desroches, S Rodrigues, R Veltz, MA Muñoz, TJ Sejnowski
Proceedings of the National Academy of Sciences 110 (41), 16610-16615, 2013
262013
The geometry of mixed-mode oscillations in the Olsen model for Peroxidase-Oxidase reaction
MF Desroches, B Krauskopf, HM Osinga
242008
Canard cycles in aircraft ground dynamics
J Rankin, M Desroches, B Krauskopf, M Lowenberg
Nonlinear Dynamics 66 (4), 681-688, 2011
212011
A multiple time scale coupling of piecewise linear oscillators. application to a neuroendocrine system
S Fernández-García, M Desroches, M Krupa, F Clément
SIAM Journal on Applied Dynamical Systems 14 (2), 643-673, 2015
202015
Spike-adding in parabolic bursters: the role of folded-saddle canards
M Desroches, M Krupa, S Rodrigues
Physica D: Nonlinear Phenomena 331, 58-70, 2016
182016
Canard solutions in planar piecewise linear systems with three zones
S Fernández-García, M Desroches, M Krupa, AE Teruel
Dynamical Systems 31 (2), 173-197, 2016
182016
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Articles 1–20