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.
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页码：202 / 216
页数：15
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