Phase portraits of the quadratic polynomial Lienard differential systems

被引：2

作者：

Gouveia, Marcio R. A. ^{[1
]}

Llibre, Jaume ^{[2
]}

Roberto, Luci Any ^{[1
]}

机构：

[1] Ibilce UNESP, Dept Matemat, BR-15054000 Sao Jose Do Rio Preto, Brazil

[2] Univ Autonoma Barcelona, Dept Matemat, Barcelona 08193, Catalonia, Spain

来源：

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2021年 / 151卷 / 01期

基金：

巴西圣保罗研究基金会; 欧盟地平线“2020”;

关键词：

Quadratic system; Lienard system; Poincare compactification; Global phase portraits; LIOUVILLIAN 1ST INTEGRALS; LIMIT-CYCLES; WEAK FOCUS; EQUATIONS; CLASSIFICATION; NONEXISTENCE; BIFURCATIONS; UNIQUENESS; EXISTENCE; GEOMETRY;

D O I：

10.1017/prm.2020.10

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We classify the global phase portraits in the Poincare disc of the quadratic polynomial Lienard differential systems (x)over dot = y, (y)over dot = (ax + b)y + cx(2) + dx + e, where (x, y) is an element of R-2 are the variables and a, b, c, d, e are real parameters.

引用

页码：202 / 216

页数：15

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