maciej krupa
maciej krupa
INRIA Sophia-Antipolis
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TitleCited byYear
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
3782001
Relaxation oscillation and canard explosion
M Krupa, P Szmolyan
Journal of Differential Equations 174 (2), 312-368, 2001
3322001
Bifurcations of relative equilibria
M Krupa
SIAM journal on mathematical analysis 21 (6), 1453-1486, 1990
2401990
Robust heteroclinic cycles
M Krupa
Journal of Nonlinear Science 7 (2), 129-176, 1997
2251997
Asymptotic stability of heteroclinic cycles in systems with symmetry
M Krupa, I Melbourne
Ergodic Theory and Dynamical Systems 15 (1), 121-147, 1995
2061995
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
1682006
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
1292008
Fast and slow waves in the FitzHugh–Nagumo equation
M Krupa, B Sandstede, P Szmolyan
journal of differential equations 133 (1), 49-97, 1997
1241997
Local analysis near a folded saddle-node singularity
M Krupa, M Wechselberger
Journal of Differential Equations 248 (12), 2841-2888, 2010
1072010
Coupled arrays of Josephson junctions and bifurcation of maps with SN symmetry
DG Aronson, M Golubitsky, M Krupa
Nonlinearity 4 (3), 861, 1991
1031991
Extending slow manifolds near transcritical and pitchfork singularities
M Krupa, P Szmolyan
Nonlinearity 14 (6), 1473, 2001
982001
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
972004
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), 015106, 2008
942008
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
922013
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
921994
Modelling, dynamics and control of tethered satellite systems
M Krupa, W Poth, M Schagerl, A Steindl, W Steiner, H Troger, ...
Nonlinear Dynamics 43 (1-2), 73-96, 2006
852006
Hopf bifurcation with non-semisimple 1: 1 resonance
SA van Gils, M Krupa, WF Langford
Nonlinearity 3 (3), 825, 1990
841990
Time-reversibility and particle sedimentation
M Golubitsky, M Krupa, C Lim
SIAM Journal on Applied Mathematics 51 (1), 49-72, 1991
671991
Transverse bifurcations of homoclinic cycles
P Chossat, M Krupa, I Melbourne, A Scheel
Physica D: Nonlinear Phenomena 100 (1-2), 85-100, 1997
551997
Geometric analysis of the singularly perturbed planar fold
M Krupa, P Szmolyan
Multiple-time-scale dynamical systems, 89-116, 2001
412001
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