A cubic system with a limit cycle bounded by two invariant parabolas

被引：1

作者：

Sáez E. ^{[1
]}

Szántó I. ^{[1
]}

机构：

[1] Departamento de Matemática, Universidad Técnica Federico Santa María, Valparaíso

来源：

Differential Equations and Dynamical Systems | 2009年 / 17卷 / 1-2期

关键词：

Center; Invariant algebraic curves; Limit cycles; Polynomial differential equations;

D O I：

10.1007/s12591-009-0012-z

中图分类号：

学科分类号：

摘要：

We show the existence of a cubic system having at least one limit cycle bounded by two invariant parabolas. We will also obtain the necessary and sufficient conditions for the critical point in the interior of the bounded region to be a center. © 2009 Foundation for Scientific Research and Technological Innovation.

引用

页码：163 / 168

页数：5

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