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