BURSTING OSCILLATIONS FROM A HOMOCLINIC TANGENCY IN A TIME-DELAY SYSTEM

被引：28

作者：

DESTEXHE, A ^{[1
]}

GASPARD, P ^{[1
]}

机构：

[1] UNIV LIBRE BRUXELLES,B-1050 BRUSSELS,BELGIUM

来源：

PHYSICS LETTERS A | 1993年 / 173卷 / 4-5期

关键词：

D O I：

10.1016/0375-9601(93)90256-Y

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe a type of bursting oscillations arising in a model of reciprocally connected neurons, where a time delay has been introduced to account for synaptic and propagation delays. We show that in this system bursting oscillations appear at an infinite period bifurcation characterized by a homoclinic tangency to a limit cycle. Such homoclinic bursting phenomena are characterized by a logarithmic lengthening of the period, which could be measured from experimental time series.

引用

页码：386 / 391

页数：6