Martin Wechselberger

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 10

Top Topics

Perturbation Method

Diffusion Models

Top Venues

SIAM J. Appl. Dyn. Syst.

SIAM J. Math. Anal.

J. Comput. Neurosci.

J. Nonlinear Sci.

Publications

Bronwyn H. Bradshaw-Hajek, Ian Lizarraga, Robert Marangell, Martin Wechselberger
A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models. SIAM J. Appl. Dyn. Syst. 23 (3) (2024)
Samuel Jelbart, Nathan Pages, Vivien Kirk, James Sneyd, Martin Wechselberger
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics. SIAM J. Appl. Dyn. Syst. 21 (2) (2022)
Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations. SIAM J. Math. Anal. 52 (6) (2020)
Ian Lizarraga, Robert Marangell, Martin Wechselberger
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form. J. Nonlinear Sci. 30 (6) (2020)
Ian Lizarraga, Martin Wechselberger
Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems. SIAM J. Appl. Dyn. Syst. 19 (2) (2020)
Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Timothy V. Roberts, Martin Wechselberger
(In)stability of Travelling Waves in a Model of Haptotaxis. SIAM J. Appl. Math. 80 (4) (2020)
John Mitry, Martin Wechselberger
Folded Saddles and Faux Canards. SIAM J. Appl. Dyn. Syst. 16 (1) (2017)
Kerry-Lyn Roberts, Jonathan E. Rubin, Martin Wechselberger
Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model. SIAM J. Appl. Dyn. Syst. 14 (4) (2015)
Ghanim Ullah, Yina Wei, Markus A. Dahlem, Martin Wechselberger, Steven J. Schiff
The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization. PLoS Comput. Biol. 11 (8) (2015)
Theodore Vo, Martin Wechselberger
Canards of Folded Saddle-Node Type I. SIAM J. Math. Anal. 47 (4) (2015)
Theodore Vo, Joël Tabak, Richard Bertram, Martin Wechselberger
A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells. J. Comput. Neurosci. 36 (2) (2014)
Xiaobiao Lin, Martin Wechselberger
Transonic Evaporation Waves in a Spherically Symmetric Nozzle. SIAM J. Math. Anal. 46 (2) (2014)
Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Martin Wechselberger
Existence of Traveling Wave Solutions for a Model of Tumor Invasion. SIAM J. Appl. Dyn. Syst. 13 (1) (2014)
Theodore Vo, Richard Bertram, Martin Wechselberger
Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting. SIAM J. Appl. Dyn. Syst. 12 (2) (2013)
Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger
Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. 54 (2) (2012)
Emily P. Harvey, Vivien Kirk, Martin Wechselberger, James Sneyd
Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics. J. Nonlinear Sci. 21 (5) (2011)
Theodore Vo, Richard Bertram, Joël Tabak, Martin Wechselberger
Mixed mode oscillations as a mechanism for pseudo-plateau bursting. J. Comput. Neurosci. 28 (3) (2010)
Bard Ermentrout, Martin Wechselberger
Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model. SIAM J. Appl. Dyn. Syst. 8 (1) (2009)
Horacio G. Rotstein, Martin Wechselberger, Nancy Kopell
Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model. SIAM J. Appl. Dyn. Syst. 7 (4) (2008)
Margaret Beck, Christopher K. R. T. Jones, David Schaeffer, Martin Wechselberger
Electrical Waves in a One-Dimensional Model of Cardiac Tissue. SIAM J. Appl. Dyn. Syst. 7 (4) (2008)
Martin Wechselberger
Canards. Scholarpedia 2 (4) (2007)
Jonathan E. Rubin, Martin Wechselberger
Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Biol. Cybern. 97 (1) (2007)
Janet Best, Alla Borisyuk, Jonathan E. Rubin, David Terman, Martin Wechselberger
The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network. SIAM J. Appl. Dyn. Syst. 4 (4) (2005)
Martin Wechselberger
in the Case of a Folded Node. SIAM J. Appl. Dyn. Syst. 4 (1) (2005)