Kramer, Mark A.Traub, Roger D.Kopell, Nancy J.2018-08-212018-08-212008MA 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.101.068103https://hdl.handle.net/2144/30864We 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.068103 - ?Science & technologyPhysical sciencesPhysicsNeuronsAction potentialsCalcium signalingModels, neurologicalPurkinje cellsReceptors, muscarinicDynamical systemsNeurons and cognitionArticle0000-0002-8568-8750 (Kopell, NJ)