New dynamics in cerebellar Purkinje
cells: torus canards
M. A. Kramer, R. D. Traub, N. J. Kopell
We describe a transition from bursting to rapid spiking in a reduced mathematical model of a cerebellar Purkinje cell. We perform a slow-fast analysis of the system and find that --- after a saddle node bifurcation of limit cycles --- the full model dynamics follow temporarily a repelling branch of limit cycles. We propose that the system exhibits a dynamical phenomenon new to realistic, biophysical applications: torus canards.
Accepted for publication in Physical Review Letters (07/2008).
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