New dynamics in cerebellar purkinje cells: torus canards
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Date
2008
DOI
Authors
Kramer, Mark A.
Traub, Roger D.
Kopell, Nancy J.
Version
OA Version
Citation
MA Kramer, RD Traub, NJ Kopell. 2008. "New dynamics in cerebellar purkinje cells: torus canards." Physical review letters, Volume 101, Issue 6:068103. https://doi.org/10.1103/PhysRevLett.101.068103
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 temporarily follow a repelling branch of limit cycles. We propose that the system exhibits a dynamical phenomenon new to realistic, biophysical applications: torus canards.