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Martin Wechselberger
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2020 – today
- 2024
- [j24]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): 2099-2137 (2024) - 2022
- [j23]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): 982-1029 (2022) - 2020
- [j22]Ian Lizarraga, Robert Marangell, Martin Wechselberger:
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form. J. Nonlinear Sci. 30(6): 3161-3198 (2020) - [j21]Ian Lizarraga, Martin Wechselberger:
Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems. SIAM J. Appl. Dyn. Syst. 19(2): 994-1028 (2020) - [j20]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): 1629-1653 (2020) - [j19]Daniele Avitabile, Mathieu Desroches, Romain Veltz, Martin Wechselberger:
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations. SIAM J. Math. Anal. 52(6): 5703-5747 (2020)
2010 – 2019
- 2017
- [j18]John Mitry, Martin Wechselberger:
Folded Saddles and Faux Canards. SIAM J. Appl. Dyn. Syst. 16(1): 546-596 (2017) - 2015
- [j17]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) - [j16]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): 1808-1844 (2015) - [j15]Theodore Vo, Martin Wechselberger:
Canards of Folded Saddle-Node Type I. SIAM J. Math. Anal. 47(4): 3235-3283 (2015) - 2014
- [j14]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): 259-278 (2014) - [j13]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): 366-396 (2014) - [j12]Xiaobiao Lin, Martin Wechselberger:
Transonic Evaporation Waves in a Spherically Symmetric Nozzle. SIAM J. Math. Anal. 46(2): 1472-1504 (2014) - 2013
- [j11]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): 789-830 (2013) - 2012
- [j10]Mathieu Desroches, John Guckenheimer, Bernd Krauskopf, Christian Kuehn, Hinke M. Osinga, Martin Wechselberger:
Mixed-Mode Oscillations with Multiple Time Scales. SIAM Rev. 54(2): 211-288 (2012) - 2011
- [j9]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): 639-683 (2011) - 2010
- [j8]Theodore Vo, Richard Bertram, Joël Tabak, Martin Wechselberger:
Mixed mode oscillations as a mechanism for pseudo-plateau bursting. J. Comput. Neurosci. 28(3): 443-458 (2010)
2000 – 2009
- 2009
- [j7]Bard Ermentrout, Martin Wechselberger:
Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model. SIAM J. Appl. Dyn. Syst. 8(1): 253-278 (2009) - 2008
- [j6]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): 1558-1581 (2008) - [j5]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): 1582-1611 (2008) - 2007
- [j4]Jonathan E. Rubin, Martin Wechselberger:
Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model. Biol. Cybern. 97(1): 5-32 (2007) - [j3]Martin Wechselberger:
Canards. Scholarpedia 2(4): 1356 (2007) - 2005
- [j2]Martin Wechselberger:
Existence and Bifurcation of Canards in ℝ3 in the Case of a Folded Node. SIAM J. Appl. Dyn. Syst. 4(1): 101-139 (2005) - [j1]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): 1107-1139 (2005)
Coauthor Index
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