Invariant Algebraic Curves of Generalized Lienard Polynomial Differential Systems

被引：5

作者：

Gine, Jaume ^{[1
]}

Llibre, Jaume ^{[2
]}

机构：

[1] Univ Lleida, Dept Matemat, Avda Jaume II 69, Lleida 25001, Catalonia, Spain

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

来源：

MATHEMATICS | 2022年 / 10卷 / 02期

基金：

欧盟地平线“2020”;

关键词：

Lienard differential systems; invariant algebraic curve; first integrals; LIOUVILLIAN 1ST INTEGRALS;

D O I：

10.3390/math10020209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we focus on invariant algebraic curves of generalized Lienard polynomial differential systems x & PRIME;=y, y & PRIME;=-f(m)(x)y-g(n)(x), where the degrees of the polynomials f and g are m and n, respectively, and we correct some results previously stated.

引用

页数：5

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