New Dynamics in Cerebellar Purkinje Cells: Torus Canards
Authors:
- 8 August 2008
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 101 (6) , 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.Keywords
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