Martin Wechselberger
Martin Wechselberger
Professor, School of Mathematics and Statistics, University of Sydney
Verified email at - Homepage
Cited by
Cited by
Mixed-mode oscillations with multiple time scales
M Desroches, J Guckenheimer, B Krauskopf, C Kuehn, HM Osinga, ...
Siam Review 54 (2), 211-288, 2012
Canards in R3
P Szmolyan, M Wechselberger
Journal of Differential Equations 177 (2), 419-453, 2001
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
Mixed mode oscillations due to the generalized canard phenomenon
M Brøns, M Krupa, M Wechselberger
Fields Institute Communications 49, 39-63, 2006
Giant squid-hidden canard: the 3D geometry of the Hodgkin–Huxley model
J Rubin, M Wechselberger
Biological Cybernetics 97 (1), 5-32, 2007
Local analysis near a folded saddle-node singularity
M Krupa, M Wechselberger
Journal of Differential Equations 248 (12), 2841-2888, 2010
Relaxation oscillations in R3
P Szmolyan, M Wechselberger
Journal of Differential Equations 200 (1), 69-104, 2004
A propos de canards (apropos canards)
M Wechselberger
Transactions of the American Mathematical Society 364 (6), 3289-3309, 2012
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
Chaotic attractors of relaxation oscillators
J Guckenheimer, M Wechselberger, LS Young
Nonlinearity 19 (3), 701, 2006
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
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
Computing invariant manifolds via the continuation of orbit segments
B Krauskopf, HM Osinga
Numerical Continuation Methods for Dynamical Systems, 117-154, 2007
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
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
Mixed mode oscillations as a mechanism for pseudo-plateau bursting
T Vo, R Bertram, J Tabak, M Wechselberger
Journal of computational neuroscience 28 (3), 443-458, 2010
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 (5), 639, 2011
Excitable neurons, firing threshold manifolds and canards
J Mitry, M McCarthy, N Kopell, M Wechselberger
The Journal of Mathematical Neuroscience 3 (1), 12, 2013
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 Comput Biol 11 (8), e1004414, 2015
Canard theory and excitability
M Wechselberger, J Mitry, J Rinzel
Nonautonomous dynamical systems in the life sciences, 89-132, 2013
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