On limit cycles of systems with a partial integral

被引：0

作者：

Dolov, M. V. ^{[1
]}

Chistyakova, S. A.

机构：

[1] Nizhnii Novgorod State Univ, Nizhnii Novgorod, Russia

来源：

DIFFERENTIAL EQUATIONS | 2012年 / 48卷 / 08期

关键词：

Integral Equation; Phase Trajectory; Invariant Curve; Polynomial Vector; Quadratic System;

D O I：

10.1134/S0012266112080149

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a certain class of two-dimensional autonomous systems of differential equations with an invariant curve that contains ovals, we indicate necessary and sufficient conditions for these ovals to be limit cycles of phase trajectories.

引用

页码：1180 / 1182

页数：3