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Mathieu Desroches
Mathieu Desroches
Research Director, Inria Branch at the University of Montpellier
Verified email at inria.fr - Homepage
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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
5732012
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), 2013
1412013
On the dynamics of the adenylate energy system: homeorhesis vs homeostasis
IM De la Fuente, JM Cortés, E Valero, M Desroches, S Rodrigues, ...
PloS one 9 (10), e108676, 2014
1102014
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), 2008
1062008
Numerical continuation of canard orbits in slow–fast dynamical systems
M Desroches, B Krauskopf, HM Osinga
Nonlinearity 23 (3), 739, 2010
892010
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
872008
A showcase of torus canards in neuronal bursters
J Burke, M Desroches, AM Barry, TJ Kaper, MA Kramer
The Journal of Mathematical Neuroscience 2, 1-30, 2012
742012
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
662016
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
642012
Inflection, canards and excitability threshold in neuronal models
M Desroches, M Krupa, S Rodrigues
Journal of mathematical biology 67, 989-1017, 2013
632013
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
592012
Short-term synaptic plasticity in the deterministic Tsodyks–Markram model leads to unpredictable network dynamics
JM Cortes, M Desroches, S Rodrigues, R Veltz, MA Muńoz, TJ Sejnowski
Proceedings of the National Academy of Sciences 110 (41), 16610-16615, 2013
562013
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
552013
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
462011
Canards and curvature: nonsmooth approximation by pinching
M Desroches, MR Jeffrey
Nonlinearity 24 (5), 1655, 2011
462011
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
422016
Hyperactivation of monocytes and macrophages in MCI patients contributes to the progression of Alzheimer's disease
U Munawara, M Catanzaro, W Xu, C Tan, K Hirokawa, N Bosco, ...
Immunity & Ageing 18 (1), 29, 2021
392021
The geometry of mixed-mode oscillations in the Olsen model for peroxidase-oxidase reaction
MF Desroches, B Krauskopf, HM Osinga
322008
Targeting infectious agents as a therapeutic strategy in Alzheimer’s disease
T Fülöp, U Munawara, A Larbi, M Desroches, S Rodrigues, M Catanzaro, ...
CNS drugs 34, 673-695, 2020
312020
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
312016
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