Liouvillian integrability of some quadratic Liénard polynomial differential systems

被引：0

作者：

Claudia Valls

机构：

[1] Universidade de Lisboa,Departamento de Matemática, Instituto Superior Técnico

来源：

Rendiconti del Circolo Matematico di Palermo Series 2 | 2019年 / 68卷

关键词：

Liénard polynomial differential system; Liouvillian integrability; Quadratic system; Primary 34A05; Secondary 34C05; 37C10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper we characterize all the Liouvillian first integrals of some quadratic Liénard polynomial differential systems. In addition we also find Liénard polynomial differential systems which admit a transcendental first integral.

引用

页码：499 / 519

页数：20

共 50 条

[21] Li,nard systems for quadratic systems with invariant algebraic curves
Cherkas, L. A.
DIFFERENTIAL EQUATIONS, 2011, 47 (10) : 1435 - 1441
[22] On the Darboux Integrability of Polynomial Differential Systems
Jaume Llibre
Xiang Zhang
Qualitative Theory of Dynamical Systems, 2012, 11 : 129 - 144
[23] Polynomial Liénard systems with a nilpotent global center
Isaac A. García
Jaume Llibre
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 3625 - 3636
[24] LIMIT CYCLES OF THE GENERALIZED POLYNOMIAL LINARD DIFFERENTIAL EQUATION
Amel Boulfoul
Amar Makhlouf
Annals of Differential Equations, 2012, 28 (02) : 127 - 131
[25] Liouvillian First Integrals for Generalized Riccati Polynomial Differential Systems
Llibre, Jaume
Valls, Claudia
ADVANCED NONLINEAR STUDIES, 2015, 15 (04) : 951 - 961
[26] Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems
Demina, Maria V.
PHYSICS LETTERS A, 2018, 382 (20) : 1353 - 1360
[27] Liouvillian First Integrals for Generalized Lienard Polynomial Differential Systems
Llibre, Jaume
Valls, Claudia
ADVANCED NONLINEAR STUDIES, 2013, 13 (04) : 825 - 835
[28] Integrability and solvability of polynomial Lienard differential systems
Demina, Maria V.
STUDIES IN APPLIED MATHEMATICS, 2023, 150 (03) : 755 - 817
[29] ALGEBRAIC ASPECTS OF INTEGRABILITY FOR POLYNOMIAL DIFFERENTIAL SYSTEMS
Pan, Yangyou
Zhang, Xiang
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2013, 3 (01): : 51 - 69
[30] Global dynamics of a polynomial Liénard differential system with arbitrary degree
Hebai Chen
Man Jia
Baodong Zhang
Xiang Zhang
Nonlinear Dynamics, 2024, 112 : 7233 - 7268

← 1 2 3 4 5 →