ON BENDIXSON CRITERION

被引：166

作者：

LI, Y

MULDOWNEY, JS

机构：

[1] Department of Mathematics, University of Alberta, Edmonton

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1993年 / 106卷 / 01期

关键词：

D O I：

10.1006/jdeq.1993.1097

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For autonomous differential equations in ℝn criteria are developed which preclude the existence of invariant closed curves such as periodic or homoclinic trajectories. The technique is based on the study of functionals on 2-surfaces. Results generalize to higher dimensions a criterion of Bendixson for the nonexistence of nonconstant periodic solutions in the case n = 2. As an example, an application to the Lorenz system in ℝ3 is given. © 1993 by Academic Press, Inc.

引用

页码：27 / 39

页数：13

共 13 条

[1] On the defined curves of some differential equations [J].