Martin Wechselberger

24 papers Journal 24
YearRankTypeTitle / Venue / Authors
2024 J jnl
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models.
SIAM J. Appl. Dyn. Syst.
Bronwyn H. Bradshaw-Hajek, Ian Lizarraga, Robert Marangell, Martin Wechselberger
2022 J jnl
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics.
SIAM J. Appl. Dyn. Syst.
Samuel Jelbart, Nathan Pages, Vivien Kirk, James Sneyd, Martin Wechselberger
2020 J jnl
(In)stability of Travelling Waves in a Model of Haptotaxis.
SIAM J. Appl. Math.
Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Timothy V. Roberts, Martin Wechselberger
2020 J jnl
Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems.
SIAM J. Appl. Dyn. Syst.
Ian Lizarraga, Martin Wechselberger
2020 J jnl
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations.
SIAM J. Math. Anal.
Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger
2020 J jnl
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form.
J. Nonlinear Sci.
Ian Lizarraga, Robert Marangell, Martin Wechselberger
2017 J jnl
Folded Saddles and Faux Canards.
SIAM J. Appl. Dyn. Syst.
John Mitry, Martin Wechselberger
2015 J jnl
Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model.
SIAM J. Appl. Dyn. Syst.
Kerry-Lyn Roberts, Jonathan E. Rubin, Martin Wechselberger
2015 J jnl
Canards of Folded Saddle-Node Type I.
SIAM J. Math. Anal.
Theodore Vo, Martin Wechselberger
2015 J jnl
The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization.
PLoS Comput. Biol.
Ghanim Ullah, Yina Wei, Markus A. Dahlem, Martin Wechselberger, Steven J. Schiff
2014 J jnl
A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells.
J. Comput. Neurosci.
Theodore Vo, Joël Tabak, Richard Bertram, Martin Wechselberger
2014 J jnl
Existence of Traveling Wave Solutions for a Model of Tumor Invasion.
SIAM J. Appl. Dyn. Syst.
Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Martin Wechselberger
2014 J jnl
Transonic Evaporation Waves in a Spherically Symmetric Nozzle.
SIAM J. Math. Anal.
Xiaobiao Lin, Martin Wechselberger
2013 J jnl
Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting.
SIAM J. Appl. Dyn. Syst.
Theodore Vo, Richard Bertram, Martin Wechselberger
2012 J jnl
Mixed-Mode Oscillations with Multiple Time Scales.
SIAM Rev.
Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger
2011 J jnl
Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics.
J. Nonlinear Sci.
Emily P. Harvey, Vivien Kirk, Martin Wechselberger, James Sneyd
2010 J jnl
Mixed mode oscillations as a mechanism for pseudo-plateau bursting.
J. Comput. Neurosci.
Theodore Vo, Richard Bertram, Joël Tabak, Martin Wechselberger
2009 J jnl
Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model.
SIAM J. Appl. Dyn. Syst.
Bard Ermentrout, Martin Wechselberger
2008 J jnl
Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model.
SIAM J. Appl. Dyn. Syst.
Horacio G. Rotstein, Martin Wechselberger, Nancy Kopell
2008 J jnl
Electrical Waves in a One-Dimensional Model of Cardiac Tissue.
SIAM J. Appl. Dyn. Syst.
Margaret Beck, Christopher K. R. T. Jones, David Schaeffer, Martin Wechselberger
2007 J jnl
Canards.
Scholarpedia
Martin Wechselberger
2007 J jnl
Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model.
Biol. Cybern.
Jonathan E. Rubin, Martin Wechselberger
2005 J jnl
Existence and Bifurcation of Canards in ℝ
SIAM J. Appl. Dyn. Syst.
Martin Wechselberger
2005 J jnl
The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network.
SIAM J. Appl. Dyn. Syst.
Janet Best, Alla Borisyuk, Jonathan E. Rubin, David Terman, Martin Wechselberger