New dynamics in cerebellar Purkinje cells: Torus canards

被引：67

作者：

Kramer, Mark A. ^{[4
]}

Traub, Roger D. ^{[1
,2
,3
]}

Kopell, Nancy J. ^{[4
]}

机构：

[1] Suny Downstate Med Ctr, Dept Physiol, Brooklyn, NY 11203 USA

[2] Suny Downstate Med Ctr, Dept Pharmacol, Brooklyn, NY 11203 USA

[3] Suny Downstate Med Ctr, Dept Neurol, Brooklyn, NY 11203 USA

[4] Boston Univ, Dept Math & Stat, Boston, MA 02215 USA

来源：

PHYSICAL REVIEW LETTERS | 2008年 / 101卷 / 06期

关键词：

D O I：

10.1103/PhysRevLett.101.068103

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：4

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