Martin Wechselberger

According to our database, Martin Wechselberger authored at least 24 papers between 2005 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

A Geometric Singular Perturbation Analysis of Shock Selection Rules in Composite Regularized Reaction-Nonlinear Diffusion Models.

Bronwyn H. Bradshaw-Hajek, Ian Lizarraga, Robert Marangell, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2024

2022

Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics.

Samuel Jelbart, Nathan Pages, Vivien Kirk, James Sneyd, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2022

2020

Local Theory for Spatio-Temporal Canards and Delayed Bifurcations.

Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger

SIAM J. Math. Anal., 2020

(In)stability of Travelling Waves in a Model of Haptotaxis.

Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Timothy V. Roberts, Martin Wechselberger

SIAM J. Appl. Math., 2020

Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems.

Ian Lizarraga, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2020

Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form.

Ian Lizarraga, Robert Marangell, Martin Wechselberger

J. Nonlinear Sci., 2020

2017

Folded Saddles and Faux Canards.

John Mitry, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2017

2015

Canards of Folded Saddle-Node Type I.

Theodore Vo, Martin Wechselberger

SIAM J. Math. Anal., 2015

Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model.

Kerry-Lyn Roberts, Jonathan E. Rubin, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2015

The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization.

Ghanim Ullah, Yina Wei, Markus A. Dahlem, Martin Wechselberger, Steven J. Schiff

PLoS Comput. Biol., 2015

2014

Transonic Evaporation Waves in a Spherically Symmetric Nozzle.

Xiaobiao Lin, Martin Wechselberger

SIAM J. Math. Anal., 2014

Existence of Traveling Wave Solutions for a Model of Tumor Invasion.

Kristen E. Harley, Peter van Heijster, Robert Marangell, Graeme J. Pettet, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2014

A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells.

Theodore Vo, Joël Tabak, Richard Bertram, Martin Wechselberger

J. Comput. Neurosci., 2014

2013

Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting.

Theodore Vo, Richard Bertram, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2013

2012

Mixed-Mode Oscillations with Multiple Time Scales.

Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger

SIAM Rev., 2012

2011

Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics.

Emily P. Harvey, Vivien Kirk, Martin Wechselberger, James Sneyd

J. Nonlinear Sci., 2011

2010

Mixed mode oscillations as a mechanism for pseudo-plateau bursting.

Theodore Vo, Richard Bertram, Joël Tabak, Martin Wechselberger

J. Comput. Neurosci., 2010

2009

Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model.

Bard Ermentrout, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2009

2008

Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model.

Horacio G. Rotstein, Martin Wechselberger, Nancy Kopell

SIAM J. Appl. Dyn. Syst., 2008

Electrical Waves in a One-Dimensional Model of Cardiac Tissue.

Margaret Beck, Christopher K. R. T. Jones, David Schaeffer, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2008

2007

Canards.

Martin Wechselberger

Scholarpedia, 2007

Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model.

Jonathan E. Rubin, Martin Wechselberger

Biol. Cybern., 2007

2005

Existence and Bifurcation of Canards in ℝ³ in the Case of a Folded Node.

Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2005

The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network.

Janet Best, Alla Borisyuk, Jonathan E. Rubin, David Terman, Martin Wechselberger

SIAM J. Appl. Dyn. Syst., 2005