Publication Search Results
Exact matches for:
- Author = Wechselberger M [web profile page]
1.
Bradshaw-Hajek BH, Lizarraga I, Marangell R, Wechselberger M
Bronwyn H Bradshaw-Hajek, Ian Lizarraga, Robert Marangell and Martin Wechselberger:
A geometric singular perturbation analysis of shock selection rules in composite regularized reaction-nonlinear diffusion models,
SIAM Journal on Applied Dynamical Systems,
23
(2024),
no. 3,
2099–2137.
2.
Miller T, Tam AKY, Marangell R, Wechselberger M, Bradshaw-Hajek BH
Thomas Miller, Alexander K Y Tam, Robert Marangell, Martin Wechselberger, Bronwyn H Bradshaw-Hajek:
Analytic shock-fronted solutions to a reaction-diffusion equation with negative diffusivity,
Studies in Applied Mathematics,
153
(2024),
no. 1,
Paper No. e12685 (23 pages).
3.
Bradshaw-Hajek BH, Lizarraga I, Marangell R, Wechselberger M
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 Journal on Applied Dynamical Systems,
23
(2024),
no. 3,
2099–2137.
4.
Abelson D, Michiel JD, Frater C, Pearson M, Russo R, Wechselberger M, Cottee A, Morgan L
David Abelson, James Di Michiel, Clayton Frater, Mark Pearson, Robert Russo, Martin Wechselberger, Alice Cottee, Lucy Morgan:
Mucus clears from the trachea in a helix: a new twist to understanding airway diseases,
Thorax,
79
(2024),
no. 7,
607–614.
5.
Bradshaw-Hajek BH, Lizarraga I, Marangell R, Wechselberger M
Bronwyn Bradshaw-Hajek, Ian Lizarraga, Robert Marangell, Martin Wechselberger:
A geometric singular perturbation analysis of regularised reaction-nonlinear diffusion models including shocks,
Proceedings of 47th Sapporo Symposium on Partial Differential Equations,
47th Sapporo Symposium on Partial Differential Equations,
S.I. Ei, N. Hamamuki, S. Jimbo, H. Kubo, H. Kuroda, Y. Liu, T. Ozawa, T. Sakajo, K. Tstaya (eds.),
Hokkaido University,
Sapporo,
(2022),
53–64.
ISBN 1348-4338.
6.
Hester EW, Vasil GM, Wechselberger M
Eric W Hester, Geoffrey M Vasil, Martin Wechselberger:
On the stability of shocks in isothermal black hole accretion discs,
Monthly Notices of the Royal Astronomical Society,
512
(2022),
no. 4,
5771–5781.
7.
Jelbart S, Pages N, Kirk V, Sneyd J, Wechselberger M
Samuel Jelbart, Nathan Pages, Vivien Kirk, James Sneyd, Martin Wechselberger:
Process-Oriented Geometric Singular Perturbation Theory and Calcium Dynamics,
SIAM Journal on Applied Dynamical Systems,
21
(2022),
no. 2,
982–1029.
8.
Jelbart S, Kristiansen KU, Wechselberger M
S Jelbart, K U Kristiansen and M Wechselberger:
Singularly perturbed boundary-equilibrium bifurcations,
Nonlinearity,
34
(2021),
no. 11,
7371.
9.
Lizarraga I, Rink B, Wechselberger M
Ian Lizarraga, Bob Rink, Martin Wechselberger:
Multiple timescales and the parametrisation method in geometric singular perturbation theory,
Nonlinearity,
34
(2021),
4163–4201.
10.
Jelbart S, Kristiansen KU, Wechselberger M
Samuel Jelbart, Kristian Uldall Kristiansen, Martin Wechselberger:
Singularly perturbed boundary-focus bifurcations,
Journal of Differential Equations,
296
(2021),
412–492.
11.
Li Y, van Heijster P, Simpson MJ, Wechselberger M
Yifei Li, Peter van Heijster, Matthew J. Simpson, Martin Wechselberger:
Shock-fronted travelling waves in a reaction–diffusion model with nonlinear forward–backward–forward diffusion,
Physica D: Nonlinear Phenomena,
423
(2021),
Article 132916.
12.
Avitabile D, Desroches M, Veltz R, Wechselberger M
Daniele Avitabile , Mathieu Desroches , Romain Veltz, Martin Wechselberger:
Local Theory for Spatio-Temporal Canards and Delayed Bifurcations,
SIAM Journal on Mathematical Analysis,
52
(2020),
no. 6,
5703–5747.
13.
Lizarraga I, Marangell R, Wechselberger M
Ian Lizarraga, Robert Marangell, Martin Wechselberger:
Slow Unfoldings of Contact Singularities in Singularly Perturbed Systems Beyond the Standard Form,
Journal of Nonlinear Science,
30
(2020),
3161–3198.
MR4170322
14.
Harley K, van Heijster P, Marangell R, Pettet G, Roberts TV, Wechselberger M
Kristen E Harley, Peter van Heijster, Robert Marangell, Graeme J Pettet, Timothy V Roberts and Martin Wechselberger:
(In)stability of travelling waves in a model of haptotaxis,
SIAM Journal on Applied Mathematics,
80
(2020),
no. 4,
1629–1653.
15.
Jelbart S, Wechselberger M
Samuel Jelbart and Martin Wechselberger:
Two-stroke relaxation oscillators,
Nonlinearity,
33
(2020),
no. 5,
2364–2408.
16.
Lizarraga I, Wechselberger M
Ian Lizarraga and Martin Wechselberger:
Computational Singular Perturbation Method for Nonstandard Slow-Fast Systems,
SIAM J. Applied Dynamical Systems,
19
(2020),
no. 2,
994–1028.
17.
Wechselberger M
Martin Wechselberger:
Geometric Singular Perturbation Theory Beyond the Standard Form,
Frontiers in Applied Dynamical Systems,
CKRT Jones, B Sandstede, L-S Young (eds.),
Springer,
Cham, Switzerland,
(2020),
137.
ISBN 978-3-030-36399-4.
18.
Mitry J, Wechselberger M
John Mitry, Martin Wechselberger:
Folded Saddles and Faux Canards,
SIAM Journal on Applied Dynamical Systems,
16
(2017),
no. 1,
546–596.
19.
Carter P, Knobloch E, Wechselberger M
P. Carter, E. Knobloch, M. Wechselberger:
Transonic canards and stellar wind,
Nonlinearity,
30
(2017),
no. 3,
1006–1033.
20.
Hayes M, Kaper T, Szmolyan P, Wechselberger M
M. Hayes, T. Kaper, P. Szmolyan, M. Wechselberger:
Geometric desingularization of degenerate singularities in the presence of rotation: a new proof of known results for slow passage through Hopf bifurcation,
Indagationes Mathematicae,
27
(2016),
1184–1203.
MR3573755
21.
Boie S, Kirk V, Sneyd J, Wechselberger M
S. Boie, V. Kirk, J. Sneyd, M. Wechselberger:
Effects of quasi-steady state reduction on biophysical models with oscillations,
Journal of Theoretical Biology,
393
(2016),
16–31.
MR3458475
22.
Bertram R, Tabak J, Teka W, Vo T, Wechselberger M
R. Bertram, J. Tabak, W. Teka, T. Vo, M. Wechselberger:
Geometric singular perturbation analysis of bursting oscillations in pituitary cells,
Mathematical Analysis of Complex Cellular Activity,
Frontiers in Applied Dynamics: Reviews and Tutorials,
Springer,
Switzerland,
(2015),
107.
ISBN 978-3-319-18113-4.
23.
Roberts KL, Rubin J, Wechselberger M
K-L. Roberts, J. Rubin, M. Wechselberger:
Averaging, foIded singularities and torus canards: explaining transitions between bursting and spiking in a coupled neuron model,
SIAM Journal on Applied Dynamical Systems,
14
(2015),
no. 4,
1808.
24.
Vo T, Wechselberger M
T. Vo, M. Wechselberger:
Canards of Folded Saddle-Node Type I,
SIAM Journal on Mathematical Analysis,
47
(2015),
no. 4,
3235–3283.
25.
Ullah G, Wei Y, Dahlem M, Wechselberger M, Schiff S
G. Ullah, Y. Wei, M. Dahlem, M. Wechselberger, S. Schiff,:
The role of cell volume in the dynamics of seizure, spreading depression, and anoxic depolarization,
PLOS Computational Biology,
11
(2015),
no. 8,
e1004414.
26.
Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M
K. Harley, P. van Heijster, R. Marangell, G. Pettet, M. Wechselberger:
Numerical computation of an Evans function for travelling waves,
Mathematical Biosciences,
266
(2015),
36–51.
27.
de Maesschalck P, Wechselberger M
P. de Maesschalck M. Wechselberger,:
Neural excitability and singular bifurcations,
Journal of Mathematical Neuroscience,
5
(2015),
no. 16,
1–32.
28.
Roberts A, Widiasih E, Jones CKRT, Wechselberger M
Andrew Roberts, Esther Widiasih, Chris K. R. T. Jones, Martin Wechselberger:
Mixed mode oscillations in a conceptual climate model,
Physica D,
292-293
(2015),
70–83.
29.
Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M
Kristen Harley, Peter van Heijster, Robert Marangell, Graeme Pettet, Martin Wechselberger:
Novel solutions for a model of wound healing angiogenesis,
Nonlinearity,
27
(2014),
no. 12,
2975–3003.
30.
Lin XB, Wechselberger M
X.B. Lin and M. Wechselberger:
Transonic evaporation waves in a spherically symmetric nozzle,
SIAM Journal on Mathematical Analysis,
46
(2014),
no. 2,
1472–1504.
MR3181705
31.
Vo T, Tabak J, Bertram R, Wechselberger M
T. Vo, J. Tabak, R. Bertram, M. Wechselberger:
A geometric understanding how fast activating potassium channels promote bursting in pituitary cells,
Journal of Computational Neuroscience,
36
(2014),
no. 2,
259–278.
32.
Harley K, van Heijster P, Marangell R, Pettet G, Wechselberger M
K. Harley, P. van Heijster, R. Marangell, G. Pettet, M. Wechselberger:
Existence of travelling wave solutions for a model of tumour invasion,
SIAM Journal on Applied Dynamical Systems,
13
(2014),
no. 1,
366–396.
33.
Wechselberger M, Mitry J, Rinzel J
M. Wechselberger, J. Mitry, J. Rinzel:
Canard theory and excitability,
Nonautonomous Dynamical Systems in the Life Sciences,
Lecture Notes in Mathematics,
Springer International Publishing,
Switzerland,
(2013),
89–132.
ISBN 978-3-319-03079-1 / 0075-8434.
34.
Vo T, Tabak J, Bertram R, Wechselberger M
Theodore Vo, Joel Tabak, Richard Bertram and Martin Wechselberger:
Canard- and Hopf-induced bursting in pituitary cells,
The Australian Mathematical Society. Gazette,
40
(2013),
no. 3,
199–201.
35.
Mitry J, McCarthy M, Kopell N, Wechselberger M
J. Mitry, M. McCarthy, N. Kopell, M. Wechselberger:
Excitable neurons, firing threshold manifolds and canards,
Journal of Mathematical Neuroscience,
3
(2013),
no. 12,
1–32.
36.
Vo T, Bertram R, Wechselberger M
T Vo, R Bertram and M Wechselberger:
Multiple geometric viewpoints of mixed mode dynamics associated with pseudo-plateau bursting,
SIAM Journal of Applied Dynamical Systems,
12
(2013),
no. 2,
789–830.
37.
Desroches M, Guckenheimer J, Krauskopf B, Kuehn C, Osinga H, Wechselberger M
M. Desroches, J. Guckenheimer, B. Krauskopf, C. Kuehn, H. Osinga, M. Wechselberger:
Mixed-mode oscillatons with multiple time-scales,
SIAM Review,
54
(2012),
211–288.
MR2916308
38.
Vo T, Bertram R, Wechselberger M
Theodore Vo, Richard Bertram, Martin Wechselberger:
Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model,
Discrete and Continuous Dynamical Systems - A,
32
(2012),
no. 8,
2879 – 2912.
MR2903992
39.
Wechselberger M
M. Wechselberger:
À propos de canards (Apropos canards),
Transactions of the American Mathematical Society,
364
(2012),
3289–3309.
MR2888246
40.
Teka W, Tabak J, Vo T, Wechselberger M, Bertram R
W.Teka, J. Tabak, T. Vo, M. Wechselberger, R. Bertram:
The dynamics underlying pseudo-plateau bursting in a pituitary cell model,
Journal of Mathematical Neuroscience,
1
(2011),
no. 12,
23.
41.
Zhang W, Kirk V, Sneyd J, Wechselberger M
W. Zhang, V. Kirk, J. Sneyd and M. Wechselberger:
Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales,
Journal of Mathematical Neuroscience,
1
(2011),
no. 9,
22.
42.
Harvey E, Kirk V, Wechselberger M, Sneyd J
Emily Harvey, Vivien Kirk, Martin Wechselberger and James Sneyd:
Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics,
Journal of Nonlinear Science,
21
(2011),
639–683.
43.
Harvey E, Kirk V, Osinga H, Sneyd J, Wechselberger M
E. Harvey, V. Kirk, H. Osinga, J. Sneyd, M. Wechselberger:
Understanding anomalous delays in a model of intracellular calcium dynamics,
Chaos,
20
(2010),
no. 4,
045104.
44.
Wechselberger M, Pettet G
M. Wechselberger, G. Pettet:
Folds, canards and shocks in advection-reaction-diffusion models,
Nonlinearity,
23
(2010),
no. 8,
1949–1969.
MR2669633
45.
Vo T, Bertram R, Tabak J, Wechselberger M
T. Vo, R. Bertram, J. Tabak, M. Wechselberger:
Mixed mode oscillations as a mechanism for pseudo-plateau bursting,
J. Comp. Neurosci.,
28
(2010),
no. 3,
443–458.
MR2653619
46.
Krupa M, Wechselberger M
M. Krupa, M. Wechselberger:
Local analysis near a folded saddle-node singularity,
J. Differential Equations,
248
(2010),
no. 12,
2841–2888.
MR2644136
47.
Wechselberger M, Weckesser W
M. Wechselberger, W. Weckesser:
Homoclinic clusters and chaos associated with a folded node in a stellate cell model,
Discrete and Contiuous Dynamical Systems, Series S (DCDS-S),
2
(2009),
no. 4,
829–850.
MR2552122
48.
Wechselberger M, Weckesser W
M. Wechselberger, W. Weckesser:
Bifurcations of mixed-mode oscillations in a stellate cell model,
Physica D,
238
(2009),
1598–1614.
49.
Ermentrout B, Wechselberger M
Bard Ermentrout and Martin Wechselberger:
Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model,
SIAM Journal on Applied Dynamical Systems,
8
(2009),
no. 1,
253–278.
MR2481284
50.
Rotstein HG, Wechselberger M, Kopell N
Horacio G. Rotstein, Martin Wechselberger, Nancy Kopell:
Canard Induced Mixed-Mode Oscillations in a Medial Entorhinal Cortex Layer II Stellate Cell Model,
SIAM Journal on Applied Dynamical Systems,
7
(2008),
no. 4,
1582–1611.
MR2470978
51.
Beck M, Jones CKRT, Schaeffer D, Wechselberger M
Margaret Beck, Christopher K. R. T. Jones, David Schaeffer, Martin Wechselberger:
Electrical Waves in a One-Dimensional Model of Cardiac Tissue,
SIAM Journal on Applied Dynamical Systems,
7
(2008),
no. 4,
1558–1581.
MR2470977
52.
Rubin J, Wechselberger M
Jonathan Rubin, Martin Wechselberger,:
The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales,
Chaos,
18
(2008),
015105.
MR2404661
53.
Wechselberger M
Martin Wechselberger:
Canards,
Scholarpedia,
2
(2007),
no. 4,
1356.
54.
Rubin J, Wechselberger M
Rubin J, Wechselberger M:
Giant Squid - Hidden Canard: the 3D Geometry of the Hodgkin Huxley Model,
Biological Cybernetics,
97
(2007),
no. 1,
5–32.
MR2326520
55.
Brons M, Krupa M, Wechselberger M
Morten Brons, Martin Krupa, Martin Wechselberger:
Mixed Mode Oscillations Due to the Generalized Canard Phenomenon,
Fields Institute Communications,
49
(2006),
39–63.
MR2270184
56.
Wechselberger M, Wright C, Bishop G, Boulant J
M. Wechselberger, C. Wright, G. Bishop, J. Boulant:
Ionic channels and conductance-based models for hypothalamic neuronal sensitivity,
American Journal of Physiology - Regulatory, Integrative and Comparative Physiology,
291
(2006),
no. 3,
518–529.
57.
Guckenheimer J, Wechselberger M, Young LS
J. Guckenheimer, M. Wechselberger, L.-S. Young:
Chaotic attractors of relaxation oscillators,
Nonlinearity,
19
(2006),
no. 3,
701–720.
MR2209295
58.
Wechselberger M
Wechselberger M:
Poincaré maps for relaxation oscillations in \(\mathbb{R}^3\) - invariant manifolds, canards and turning points,
EQUADIFF 2003 - Proceedings of the International Conference on Differential Equations,
EQUADIFF 2003,
Freddy Dumortier, Henk Broer, Jean Mawhin, Andre Vanderbauwhede, Sjoerd Verduyn Lunel (eds.),
World Sci. Publ.,
Hackensack, NJ,
(2005),
925–930.
ISBN 981-256-169-2.
MR2185152
59.
Wechselberger M
Wechselberger M:
Existence and bifurcation of canards in \(\mathbb{R}^3\) in the case of a folded node,
SIAM Journal on Applied Dynamical Systems,
4
(2005),
no. 1,
101–139.
MR2136520
60.
Best J, Borisyuk A, Rubin J, Terman D, Wechselberger M
J. Best, A. Borisyuk, J. Rubin, D. Terman, M. Wechselberger:
The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network,
SIAM Journal on Applied Dynamical Systems,
4
(2005),
no. 4,
1107–1139.
MR2179498
61.
Szmolyan P, Wechselberger M
Szmolyan P, Wechselberger M:
Relaxation oscillations in \(\mathbb{R}^3\),
Journal of Differential Equations,
200
(2004),
no. 1,
69–104.
MR2046318
62.
Wechselberger M
Wechselberger M:
Extending Melnikov theory to invariant manifolds on non-compact domains,
Dynamical Systems. An International Journal (DynSyst),
17
(2002),
no. 3,
215–233.
MR1927809
63.
Szmolyan P, Wechselberger M
Szmolyan P, Wechselberger M:
Canards in \(\mathbb{R}^3\),
Journal of Differential Equations,
177
(2001),
no. 2,
419–453.
MR1876650
| Number of matches: 63 |