UPPER BOUNDS FOR THE NUMBER OF LIMIT CYCLES OF SOME PLANAR POLYNOMIAL DIFFERENTIAL SYSTEMS

被引：7

作者：

Gasull, Armengol ^{[1
]}

Giacomini, Hector ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

[2] Univ Tours, Fac Sci & Tech, CNRS, Lab Math & Phys Theor,UMR 6083, F-37200 Tours, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 27卷 / 01期

关键词：

Polynomial differential system; limit cycle; Dulac function; DULAC FUNCTION; FORM;

D O I：

10.3934/dcds.2010.27.217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give an effective method for controlling the maximum number of limit cycles of some planar polynomial systems. It is based on a suitable choice of a Dulac function and the application of the well-known Bendixson-Dulac Criterion for multiple connected regions. The key point is a new approach to control the sign of the functions involved in the criterion. The method is applied to several examples.

引用

页码：217 / 229

页数：13

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