Publication Search Results

Matches for:

• Author=Wechselberger M

1. Wechselberger M. À propos de canards (Apropos canards), Transactions of the American Mathematical Society, 364 (2012), 3289–3309.

2. Vo T, Bertram R, Wechselberger M. Bifurcations of canard-induced mixed mode oscillations in a pituitary lactotroph model, Discrete and Continuous Dynamical Systems - A, 32 (2012), no. 8, 2879 – 2912.

3. Desroches M, Guckenheimer J, Krauskopf B, Kuehn C, Osinga H, Wechselberger M. Mixed-mode oscillatons with multiple time-scales, SIAM Review, 54 (2012), 211–288.

4. Harvey E, Kirk V, Wechselberger M, Sneyd J. Multiple Timescales, Mixed Mode Oscillations and Canards in Models of Intracellular Calcium Dynamics, Journal of Nonlinear Science, 21 (2011), 639–683.

5. Zhang W, Kirk V, Sneyd J, Wechselberger M. 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.

6. Teka W, Tabak J, Vo T, Wechselberger M, Bertram R. The dynamics underlying pseudo-plateau bursting in a pituitary cell model, Journal of Mathematical Neuroscience, 1 (2011), no. 12, 23.

7. Krupa M, Wechselberger M. Local analysis near a folded saddle-node singularity, J. Differential Equations, 248 (2010), no. 12, 2841–2888. MR2644136

8. Vo T, Bertram R, Tabak J, Wechselberger M. Mixed mode oscillations as a mechanism for pseudo-plateau bursting, J. Comp. Neurosci., 28 (2010), no. 3, 443–458. MR2653619

9. Wechselberger M, Pettet G. Folds, canards and shocks in advection-reaction-diffusion models, Nonlinearity, 23 (2010), no. 8, 1949–1969. MR2669633

10. Harvey E, Kirk V, Osinga H, Sneyd J, Wechselberger M. Understanding anomalous delays in a model of intracellular calcium dynamics, Chaos, 20 (2010), no. 4, 045104.

11. Ermentrout B, Wechselberger M. Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model, SIAM Journal on Applied Dynamical Systems, 8 (2009), no. 1, 253–278. MR2481284

12. Wechselberger M, Weckesser W. Bifurcations of mixed-mode oscillations in a stellate cell model, Physica D, 238 (2009), 1598–1614.

13. Wechselberger M, Weckesser W. 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

14. Rubin J, Wechselberger M, . The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales, Chaos, 18 (2008), 015105. MR2404661

15. Beck M, Jones CKRT, Schaeffer D, Wechselberger M. Electrical Waves in a One-Dimensional Model of Cardiac Tissue, SIAM Journal on Applied Dynamical Systems, 7 (2008), no. 4, 1558–1581. MR2470977

16. Rotstein HG, Wechselberger M, Kopell N. 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

17. 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

18. Wechselberger M. Canards, Scholarpedia, 2 (2007), no. 4, 1356.

19. Guckenheimer J, Wechselberger M, Young LS. Chaotic attractors of relaxation oscillators, Nonlinearity, 19 (2006), no. 3, 701–720. MR2209295

20. Wechselberger M, Wright C, Bishop G, Boulant J. 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.

21. Brons M, Krupa M, Wechselberger M. Mixed Mode Oscillations Due to the Generalized Canard Phenomenon, Fields Institute Communications, 49 (2006), 39–63. MR2270184

22. Best J, Borisyuk A, Rubin J, Terman D, Wechselberger M. The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network, SIAM Journal on Applied Dynamical Systems, 4 (2005), no. 4, 1107–1139. MR2179498

23. 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

24. 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

25. Szmolyan P, Wechselberger M. Relaxation oscillations in \(\mathbb{R}^3\), Journal of Differential Equations, 200 (2004), no. 1, 69–104. MR2046318

26. 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

27. Szmolyan P, Wechselberger M. Canards in \(\mathbb{R}^3\), Journal of Differential Equations, 177 (2001), no. 2, 419–453. MR1876650