Some Applications of the Extended Bendixson-Dulac Theorem

被引：10

作者：

Gasull, Armengol ^{[1
]}

Giacomini, Hector ^{[2
]}

机构：

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

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

来源：

PROGRESS AND CHALLENGES IN DYNAMICAL SYSTEMS | 2013年 / 54卷

关键词：

LIMIT-CYCLES; AUTONOMOUS SYSTEMS; GLOBAL STABILITY; UPPER-BOUNDS; NUMBER; UNIQUENESS; CRITERION; FORM;

D O I：

10.1007/978-3-642-38830-9_14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

During the last years the authors have studied the number of limit cycles of several families of planar vector fields. The common tool has been the use of an extended version of the celebrated Bendixson-Dulac Theorem. The aim of this work is to present an unified approach of some of these results, together with their corresponding proofs. We also provide several applications.

引用

页码：233 / 252

页数：20

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