Extending geometric singular perturbation theory to nonhyperbolic points---fold and canard points in two dimensions M Krupa, P Szmolyan SIAM journal on mathematical analysis 33 (2), 286-314, 2001 | 596 | 2001 |
Relaxation oscillation and canard explosion M Krupa, P Szmolyan Journal of Differential Equations 174 (2), 312-368, 2001 | 529 | 2001 |
Robust heteroclinic cycles M Krupa Journal of Nonlinear Science 7, 129-176, 1997 | 283 | 1997 |
Asymptotic stability of heteroclinic cycles in systems with symmetry M Krupa, I Melbourne Ergodic Theory and Dynamical Systems 15 (1), 121-147, 1995 | 261 | 1995 |
Bifurcations of relative equilibria M Krupa SIAM journal on mathematical analysis 21 (6), 1453-1486, 1990 | 260 | 1990 |
Mixed mode oscillations due to the generalized canard phenomenon M Brons, M Krupa, M Wechselberger Bifurcation theory and spatio-temporal pattern formation 49, 39, 2006 | 243 | 2006 |
Mixed-mode oscillations in three time-scale systems: a prototypical example M Krupa, N Popović, N Kopell SIAM Journal on Applied Dynamical Systems 7 (2), 361-420, 2008 | 196 | 2008 |
Extending slow manifolds near transcritical and pitchfork singularities M Krupa, P Szmolyan Nonlinearity 14 (6), 1473, 2001 | 179 | 2001 |
Local analysis near a folded saddle-node singularity M Krupa, M Wechselberger Journal of Differential Equations 248 (12), 2841-2888, 2010 | 172 | 2010 |
Fast and slow waves in the FitzHugh–Nagumo equation M Krupa, B Sandstede, P Szmolyan Journal of Differential Equations 133 (1), 49-97, 1997 | 166 | 1997 |
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 | 154 | 2013 |
Mixed-mode oscillations in a three time-scale model for the dopaminergic neuron M Krupa, N Popović, N Kopell, HG Rotstein Chaos: An Interdisciplinary Journal of Nonlinear Science 18 (1), 2008 | 142 | 2008 |
Asymptotic stability of heteroclinic cycles in systems with symmetry. II M Krupa, I Melbourne Proceedings of the Royal Society of Edinburgh Section A: Mathematics 134 (6 …, 2004 | 132 | 2004 |
Coupled arrays of Josephson junctions and bifurcation of maps with SN symmetry DG Aronson, M Golubitsky, M Krupa Nonlinearity 4 (3), 861, 1991 | 118 | 1991 |
Modelling, dynamics and control of tethered satellite systems M Krupa, W Poth, M Schagerl, A Steindl, W Steiner, H Troger, ... Nonlinear Dynamics 43, 73-96, 2006 | 111 | 2006 |
The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbit AJ Homburg, H Kokubu, M Krupa Ergodic Theory and Dynamical Systems 14 (4), 667-693, 1994 | 97 | 1994 |
Hopf bifurcation with non-semisimple 1: 1 resonance SA van Gils, M Krupa, WF Langford Nonlinearity 3 (3), 825, 1990 | 94 | 1990 |
Time-reversibility and particle sedimentation M Golubitsky, M Krupa, C Lim SIAM Journal on Applied Mathematics 51 (1), 49-72, 1991 | 71 | 1991 |
Inflection, canards and excitability threshold in neuronal models M Desroches, M Krupa, S Rodrigues Journal of mathematical biology 67, 989-1017, 2013 | 64 | 2013 |
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 | 59 | 2012 |