Martin Krupa

Publication Activity (10 Years)

Years Active: 2001-2022
Publications (10 Years): 9

Top Topics

Piecewise Linear

Top Venues

J. Comput. Neurosci.

SIAM J. Appl. Dyn. Syst.

J. Nonlinear Sci.

Commun. Nonlinear Sci. Numer. Simul.

Publications

Elif Köksal Ersöz, Pascal Chossat, Martin Krupa, Frédéric Lavigne
Dynamic branching in a neural network model for probabilistic prediction of sequences. J. Comput. Neurosci. 50 (4) (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)
Denis G. Zakharov, Martin Krupa, Boris S. Gutkin
Modeling dopaminergic modulation of clustered gamma rhythms. Commun. Nonlinear Sci. Numer. Simul. 82 (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)
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)
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)
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)
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)
Albert Granados, Martin Krupa, Frédérique Clément
Border Collision Bifurcations of Stroboscopic Maps in Periodically Driven Spiking Models. SIAM J. Appl. Dyn. Syst. 13 (4) (2014)
Martin Krupa, Stan C. A. M. Gielen, Boris S. Gutkin
Adaptation and shunting inhibition leads to pyramidal/interneuron gamma with sparse firing of pyramidal cells. J. Comput. Neurosci. 37 (2) (2014)
Mario Dipoppa, Martin Krupa, Alessandro Torcini, Boris S. Gutkin
Splay States in Finite Pulse-Coupled Networks of Excitable Neurons. SIAM J. Appl. Dyn. Syst. 11 (3) (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)
Stan C. A. M. Gielen, Martin Krupa, Magteld Zeitler
Gamma oscillations as a mechanism for selective information transmission. Biol. Cybern. 103 (2) (2010)
Christoph Börgers, Martin Krupa, Stan C. A. M. Gielen
The response of a classical Hodgkin-Huxley neuron to an inhibitory input pulse. J. Comput. Neurosci. 28 (3) (2010)
Martin Krupa, Nikola Popovic, Nancy Kopell
Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example. SIAM J. Appl. Dyn. Syst. 7 (2) (2008)
Martin Golubitsky, Martin Krupa
Stability Computations for Nilpotent Hopf bifurcations in Coupled Cell Systems. Int. J. Bifurc. Chaos 17 (8) (2007)
Martin Krupa, Peter Szmolyan
Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points - Fold and Canard Points in Two Dimensions. SIAM J. Math. Anal. 33 (2) (2001)