New dynamics in cerebellar Purkinje cells: torus canards.

@article{Kramer2008NewDI,
  title={New dynamics in cerebellar Purkinje cells: torus canards.},
  author={Mark A. Kramer and Roger D. Traub and Nancy J Kopell},
  journal={Physical review letters},
  year={2008},
  volume={101 6},
  pages={068103}
}
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… CONTINUE READING