New dynamics in cerebellar Purkinje cells: torus canards.

نویسندگان

  • Mark A Kramer
  • Roger D Traub
  • Nancy J Kopell
چکیده

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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عنوان ژورنال:
  • Physical review letters

دوره 101 6  شماره 

صفحات  -

تاریخ انتشار 2008