Estimate of the number of limit cycles of a second-order autonomous system and their localization

被引：0
作者：
A. A. Grin’
机构：
[1] Grodno State University,
来源：
Differential Equations | 2014年 / 50卷
关键词：
Hopf Bifurcation; Autonomous System; Connected Domain; Abel Equation; Communication Estimate;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
By using the Dulac-Cherkas function, we study the limit cycles of an autonomous two-dimensional system of ordinary differential equations depending on a parameter.
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页码：1389 / 1390
页数：1
相关论文
共 4 条
  • [1] Cherkas LA(1997)The Dulac Function for Polynomial Autonomous Systems on the Plane Differ. Uravn. 33 689-699
  • [2] Grin’ AA(2006)Reduction to the Transversality of Curves in the Problem of Constructing a Dulac Function Differ. Uravn. 42 840-843
  • [3] Cherkas LA(2010)The Bendixon-Dulac Criterion and the Reduction to Global Uniqueness in the Problem of Estimating the Number of Limit Cycles Differ. Uravn. 46 61-69
  • [4] Grin’ AA(undefined)undefined undefined undefined undefined-undefined
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