Research on the Weak Center Problem of a Class of Λ - Ω Differential Systems

被引：0

作者：

Zhou, Zhengxin ^{[1
]}

机构：

[1] Yangzhou Univ, Sch Math Sci, Yangzhou 25002, Jiangsu, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2022年 / 45卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Weak center; Lambda - Omega system; Composition center; Center condition; COMPUTING CENTER CONDITIONS;

D O I：

10.1007/s40840-021-01229-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the weak center of a class of Lambda - Omega differential systems and give the necessary and sufficient conditions for the origin point to be a center. As corollaries, we prove that the two conjectures about the weak center problem for the Lambda - Omega differential systems are correct.

引用

页码：1863 / 1875

页数：13

共 50 条

[21] Research on the Poincaré center-focus problem of some cubic differential systems by using a new method
Zhengxin Zhou
Fangfang Mao
Yuexin Yan
Advances in Difference Equations, 2017
[22] The center problem and the composition condition for a family of quartic differential systems
Zhou, Zhengxin
Romanovski, Valery G.
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2018, (15) : 1 - 17
[23] THE NONDEGENERATE CENTER PROBLEM IN CERTAIN FAMILIES OF PLANAR DIFFERENTIAL SYSTEMS
Gine, Jaume
De Prada, Paz
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2009, 19 (01): : 435 - 443
[24] THE CENTER PROBLEM ON PIECEWISE SMOOTH DIFFERENTIAL SYSTEMS WITH TWO ZONES
Zou, Changwu
Dong, Guangfeng
Liu, Changjian
Yang, Jiazhong
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, 44 (02) : 523 - 536
[25] The Center Problem and Time-Reversibility with Respect to a Quadratic Involution for a Class of Polynomial Differential Systems with Order 2 or 3
YANG Jing
YANG Ming
LU Zhengyi
Journal of Systems Science & Complexity, 2022, 35 (04) : 1608 - 1636
[26] The Center Problem and Time-Reversibility with Respect to a Quadratic Involution for a Class of Polynomial Differential Systems with Order 2 or 3
Jing Yang
Ming Yang
Zhengyi Lu
Journal of Systems Science and Complexity, 2022, 35 : 1608 - 1636
[27] The Center Problem and Time-Reversibility with Respect to a Quadratic Involution for a Class of Polynomial Differential Systems with Order 2 or 3
Yang Jing
Yang Ming
Lu Zhengyi
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2022, 35 (04) : 1608 - 1636
[28] Center problem in the center manifold for quadratic and cubic differential systems in R3
Valls, Claudia
APPLIED MATHEMATICS AND COMPUTATION, 2015, 251 : 180 - 191
[29] On the limit cycles of the piecewise differential systems formed by a linear focus or center and a quadratic weak focus or center
Llibre, Jaume
Salhi, Tayeb
CHAOS SOLITONS & FRACTALS, 2022, 160
[30] BIFURCATION OF LIMIT CYCLES AND ISOCHRONOUS CENTER AT INFINITY FOR A CLASS OF DIFFERENTIAL SYSTEMS
Huang, Wentao
Liu, Yirong
Zhang, Weinian
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2011, 1 (03): : 397 - 410

← 1 2 3 4 5 →