Martin Wechselberger

Orcid: 0000-0003-2681-3440

According to our database1, Martin Wechselberger authored at least 23 papers between 2005 and 2022.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2022
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics.
SIAM J. Appl. Dyn. Syst., 2022

2020
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations.
SIAM J. Math. Anal., 2020

(In)stability of Travelling Waves in a Model of Haptotaxis.
SIAM J. Appl. Math., 2020

Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems.
SIAM J. Appl. Dyn. Syst., 2020

Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form.
J. Nonlinear Sci., 2020

2017
Folded Saddles and Faux Canards.
SIAM J. Appl. Dyn. Syst., 2017

2015
Canards of Folded Saddle-Node Type I.
SIAM J. Math. Anal., 2015

Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model.
SIAM J. Appl. Dyn. Syst., 2015

The Role of Cell Volume in the Dynamics of Seizure, Spreading Depression, and Anoxic Depolarization.
PLoS Comput. Biol., 2015

2014
Transonic Evaporation Waves in a Spherically Symmetric Nozzle.
SIAM J. Math. Anal., 2014

Existence of Traveling Wave Solutions for a Model of Tumor Invasion.
SIAM J. Appl. Dyn. Syst., 2014

A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells.
J. Comput. Neurosci., 2014

2013
Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting.
SIAM J. Appl. Dyn. Syst., 2013

2012
Mixed-Mode Oscillations with Multiple Time Scales.
SIAM Rev., 2012

2011
Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics.
J. Nonlinear Sci., 2011

2010
Mixed mode oscillations as a mechanism for pseudo-plateau bursting.
J. Comput. Neurosci., 2010

2009
Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model.
SIAM J. Appl. Dyn. Syst., 2009

2008
Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model.
SIAM J. Appl. Dyn. Syst., 2008

Electrical Waves in a One-Dimensional Model of Cardiac Tissue.
SIAM J. Appl. Dyn. Syst., 2008

2007
Canards.
Scholarpedia, 2007

Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model.
Biol. Cybern., 2007

2005
Existence and Bifurcation of Canards in ℝ<sup>3</sup> in the Case of a Folded Node.
SIAM J. Appl. Dyn. Syst., 2005

The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network.
SIAM J. Appl. Dyn. Syst., 2005


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