Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points - Fold and Canard Points in Two Dimensions. - Martin Krupa; Peter Szmolyan (SIAM J. Math. Anal., 2001)

Stability Computations for Nilpotent Hopf bifurcations in Coupled Cell Systems. - Martin Golubitsky; Martin Krupa (Int. J. Bifurc. Chaos, 2007)

Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example. - Martin Krupa; Nikola Popovic; Nancy Kopell (SIAM J. Appl. Dyn. Syst., 2008)

Gamma oscillations as a mechanism for selective information transmission. - Stan C. A. M. Gielen; Martin Krupa; Magteld Zeitler (Biol. Cybern., 2010)

The response of a classical Hodgkin-Huxley neuron to an inhibitory input pulse. - Christoph Börgers; Martin Krupa; Stan C. A. M. Gielen (J. Comput. Neurosci., 2010)

Splay States in Finite Pulse-Coupled Networks of Excitable Neurons. - Mario Dipoppa; Martin Krupa; Alessandro Torcini; Boris S. Gutkin (SIAM J. Appl. Dyn. Syst., 2012)

Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System. - Martin Krupa; Alexandre Vidal; Mathieu Desroches; Frédérique Clément (SIAM J. Appl. Dyn. Syst., 2012)

Adaptation and shunting inhibition leads to pyramidal/interneuron gamma with sparse firing of pyramidal cells. - Martin Krupa; Stan C. A. M. Gielen; Boris S. Gutkin (J. Comput. Neurosci., 2014)

Border Collision Bifurcations of Stroboscopic Maps in Periodically Driven Spiking Models. - Albert Granados; Martin Krupa; Frédérique Clément (SIAM J. Appl. Dyn. Syst., 2014)

A Multiple Time Scale Coupling of Piecewise Linear Oscillators. Application to a Neuroendocrine System. - Soledad Fernández-García; Mathieu Desroches; Martin Krupa; Frédérique Clément (SIAM J. Appl. Dyn. Syst., 2015)

Noise-induced Canard and Mixed-Mode Oscillations in Large-Scale Stochastic Networks. - Jonathan Touboul; Martin Krupa; Mathieu Desroches (SIAM J. Appl. Math., 2015)

From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation. - John Burke; Mathieu Desroches; Albert Granados; Tasso J. Kaper; Martin Krupa; Theodore Vo (J. Nonlinear Sci., 2016)

Canard-Mediated (De)Synchronization in Coupled Phantom Bursters. - Elif Köksal Ersöz; Mathieu Desroches; Martin Krupa; Frédérique Clément (SIAM J. Appl. Dyn. Syst., 2016)

Modeling cortical spreading depression induced by the hyperactivity of interneurons. - Mathieu Desroches; Olivier D. Faugeras; Martin Krupa; Massimo Mantegazza (J. Comput. Neurosci., 2019)

Modeling dopaminergic modulation of clustered gamma rhythms. - Denis G. Zakharov; Martin Krupa; Boris S. Gutkin (Commun. Nonlinear Sci. Numer. Simul., 2020)

Inflection, Canards and Folded Singularities in Excitable Systems: Application to a 3D FitzHugh-Nagumo Model. - J. Uria Albizuri; Mathieu Desroches; Martin Krupa; Serafim Rodrigues (J. Nonlinear Sci., 2020)

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. - Louisiane Lemaire; Mathieu Desroches; Martin Krupa; Lara Pizzamiglio; Paolo Scalmani; Massimo Mantegazza (PLoS Comput. Biol., 2021)

Dynamic branching in a neural network model for probabilistic prediction of sequences. - Elif Köksal Ersöz; Pascal Chossat; Martin Krupa; Frédéric Lavigne (J. Comput. Neurosci., 2022)