Stability implications of Bendixson's criterion

被引：7

作者：

McCluskey, CC ^{[1
]}

Muldowney, JS ^{[1
]}

机构：

[1] Univ Alberta, Dept Math Sci, Edmonton, AB T6G 2G1, Canada

来源：

SIAM REVIEW | 1998年 / 40卷 / 04期

关键词：

Bendixson's criterion; omega limit set;

D O I：

10.1137/S0036144597328444

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This note presents a proof that the omega limit set of a solution to a planar system satisfying the Bendixson criterion is either empty or is a single equilibrium. The proof involves elementary techniques which should be accessible to senior undergraduates and graduate students.

引用

页码：931 / 934

页数：4