Phys. Rev. Lett. 101, 068103 (2008) [4 pages]New Dynamics in Cerebellar Purkinje Cells: Torus CanardsReceived 27 March 2008; published 8 August 2008 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. © 2008 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.101.068103
DOI:
10.1103/PhysRevLett.101.068103
PACS:
87.19.ll, 05.45.−a, 82.40.Bj
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