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Martin Wechselberger
Martin Wechselberger
Professor, School of Mathematics and Statistics, University of Sydney
Verified email at sydney.edu.au - Homepage
Title
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
5192012
Canards in R3
P Szmolyan, M Wechselberger
Journal of Differential Equations 177 (2), 419-453, 2001
3692001
Existence and bifurcation of canards in \mathbbR^3 in the case of a folded node
M Wechselberger
SIAM Journal on Applied Dynamical Systems 4 (1), 101-139, 2005
2892005
Mixed mode oscillations due to the generalized canard phenomenon
M Brøns, M Krupa, M Wechselberger
Fields Institute Communications 49, 39-63, 2006
2182006
Giant squid-hidden canard: the 3D geometry of the Hodgkin–Huxley model
J Rubin, M Wechselberger
Biological Cybernetics 97, 5-32, 2007
1652007
Local analysis near a folded saddle-node singularity
M Krupa, M Wechselberger
Journal of Differential Equations 248 (12), 2841-2888, 2010
1522010
Relaxation oscillations in R3
P Szmolyan, M Wechselberger
Journal of Differential Equations 200 (1), 69-104, 2004
1482004
A propos de canards (apropos canards)
M Wechselberger
Transactions of the American Mathematical Society 364 (6), 3289-3309, 2012
1122012
The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales
J Rubin, M Wechselberger
Chaos: An Interdisciplinary Journal of Nonlinear Science 18 (1), 015105, 2008
1002008
Chaotic attractors of relaxation oscillators
J Guckenheimer, M Wechselberger, LS Young
Nonlinearity 19 (3), 701, 2006
932006
Ionic channels and conductance-based models for hypothalamic neuronal thermosensitivity
M Wechselberger, CL Wright, GA Bishop, JA Boulant
American Journal of Physiology-Regulatory, Integrative and Comparative …, 2006
922006
Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model
HG Rotstein, M Wechselberger, N Kopell
SIAM Journal on Applied Dynamical Systems 7 (4), 1582-1611, 2008
912008
The dynamic range of bursting in a model respiratory pacemaker network
J Best, A Borisyuk, J Rubin, D Terman, M Wechselberger
SIAM Journal on Applied Dynamical Systems 4 (4), 1107-1139, 2005
902005
Mixed mode oscillations as a mechanism for pseudo-plateau bursting
T Vo, R Bertram, J Tabak, M Wechselberger
Journal of computational neuroscience 28, 443-458, 2010
792010
Canards, clusters, and synchronization in a weakly coupled interneuron model
B Ermentrout, M Wechselberger
SIAM Journal on Applied Dynamical Systems 8 (1), 253-278, 2009
782009
The role of cell volume in the dynamics of seizure, spreading depression, and anoxic depolarization
G Ullah, Y Wei, MA Dahlem, M Wechselberger, SJ Schiff
PLoS computational biology 11 (8), e1004414, 2015
762015
Multiple timescales, mixed mode oscillations and canards in models of intracellular calcium dynamics
E Harvey, V Kirk, M Wechselberger, J Sneyd
Journal of nonlinear science 21, 639-683, 2011
742011
Excitable neurons, firing threshold manifolds and canards
J Mitry, M McCarthy, N Kopell, M Wechselberger
The Journal of Mathematical Neuroscience 3, 1-32, 2013
662013
Multiple geometric viewpoints of mixed mode dynamics associated with pseudo-plateau bursting
T Vo, R Bertram, M Wechselberger
SIAM Journal on Applied Dynamical Systems 12 (2), 789-830, 2013
612013
Geometric singular perturbation theory beyond the standard form
M Wechselberger
Springer, 2020
572020
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