New dynamics in cerebellar Purkinje cells: torus canards |
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Authors: | Kramer Mark A Traub Roger D Kopell Nancy J |
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Institution: | Department of Mathematics and Statistics, Boston University, Boston, Massachusetts 02215, USA. |
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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. |
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