title: New dynamics in cerebellar Purkinje cells: torus canards.
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.
authors.affiliation: Department of Mathematics and Statistics, Boston University, Boston, Massachusetts 02215, USA.
authors.forename: Mark A
authors.initials: MA
authors.lastname: Kramer
authors.forename: Roger D
authors.initials: RD
authors.lastname: Traub
authors.forename: Nancy J
authors.initials: NJ
authors.lastname: Kopell