publications

preprints

• M. Krupa, M. Wechselberger,
  Local analysis near a folded saddle-node singularity, (2008)
  download pdf-file, 0.5MB
  
  

peer reviewed

1. M. Wechselberger, W. Weckesser,
   Homoclinic clusters and chaos associated with a folded node in a stellate cell model,
   DCDS-S (2009), in press.
   
   
2. M. Wechselberger, W. Weckesser,
   Bifurcations of mixed-mode oscillations in a stellate cell model,
   Physica D (2009), in press.
   
   
3. B. Ermentrout, M. Wechselberger,
   Canards, clusters and synchronization in a weakly coupled interneuron model,
   SIAM J. Appl. Dyn. Syst. (2009), Vol. 8, No. 1, 253-278.
   
   
4. M. Beck, C.K.R.T. Jones, D. Schaeffer, M. Wechselberger,
   Electrical waves in a one-dimensional model of cardiac tissue,
   SIAM J. Appl. Dyn. Syst. (2008), Vol. 7, No. 4, 1558-1581.
   
   
5. H. Rotstein, M. Wechselberger, N. Kopell,
   Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II stellate cell model,
   SIAM J. Appl. Dyn. Syst. (2008), Vol. 7, No. 4, 1582-1611.
   
   
6. J. Rubin, M. Wechselberger,
   The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales,
   Chaos (2008), Vol. 18, 015105.
   
   
7. J. Rubin, M. Wechselberger,
   Giant Squid - Hidden Canard: the 3D Geometry of the Hodgkin Huxley Model,
   Biological Cybernetics (2007), Vol. 97, No. 1, 5-32.
   
   
8. M. Wechselberger,
   Canards,
   Scholarpedia (2007), Vol. 2, No. 4, 1356.
   view online article
   
   
9. M. Brons, M. Krupa, M. Wechselberger,
   Mixed Mode Oscillations Due to the Generalized Canard Phenomenon,
   Fields Institute Communications (2006), Vol. 49, 39-63.
   
   
10. M. Wechselberger, C. Wright, G. Bishop, J. Boulant,
    Ionic channels and conductance-based models for hypothalamic neuronal sensitivity,
    Am J Physiol Regulatory Integrative Comp Physiol (2006), Vol. 291, 518-529.
    
    
11. J. Guckenheimer, M. Wechselberger, L.-S. Young,
    Chaotic Attractors of Relaxation Oscillators,
    Nonlinearity (2006), Vol. 19, No. 3, 709-720.
    
    
12. J. Best, A. Borisyuk, J. Rubin, D. Terman, M. Wechselberger,
    The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network,
    SIAM J. Applied Dynamical Systems (2005), Vol. 4, No. 4, 1107-1139.
    
    
13. M. Wechselberger,
    Existence and Bifurcation of Canards in R^3 in the case of a Folded Node,
    SIAM J. Applied Dynamical Systems (2005), Vol. 4, No. 1, 101-139.
    
    
14. M. Wechselberger,
    Poincare Maps for Relaxation Oscillations in R^3 - Invariant Manifolds, Canards and Turning Points,
    Proceedings of "Equadiff 03", Hasselt, Belgium, (2005).
    
    
15. P. Szmolyan, M. Wechselberger,
    Relaxation Oscillations in R^3,
    J Differential Equations (2004), Vol. 200, 69-104.
    
    
16. M. Wechselberger,
    Extending Melnikov-theory to invariant manifolds on non-compact domains,
    Dynamical Systems: An International Journal (2002), Vol. 17, No.3, 215-233.
    
    
17. P. Szmolyan, M. Wechselberger,
    Canards in R^3,
    J Differential Equations (2001), Vol. 177, 419-453.