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arXiv · 0803.4272

New dynamics in cerebellar Purkinje cells: torus canards

M. A. Kramer·R. D. Traub·N. J. Kopell
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Abstract

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.

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M. A. Kramer, R. D. Traub, N. J. Kopell. 2008-08-13. New dynamics in cerebellar Purkinje cells: torus canards. https://doi.org/10.1103/physrevlett.101.068103

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