INTEGRABILITY AND BIFURCATION OF LIMIT CYCLES FOR A CLASS OF QUASI-HOMOGENEOUS SYSTEMS

被引：2

作者：

Tang, Yanli ^{[1
,2
]}

Wu, Yusen ^{[3
]}

Li, Feng ^{[2
]}

机构：

[1] Philippine Christian Univ, Ctr Int Educ, Taft Ave, Manila 1004, Philippines

[2] Linyi Univ, Sch Math & Stat, Linyi 276000, Shandong, Peoples R China

[3] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Henan, Peoples R China

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2024年 / 14卷 / 02期

关键词：

Quasi-homogeneous; center; focal value; limit cycle; LINEARIZABILITY; CENTERS;

D O I：

10.11948/20230253

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The integrability and bifurcation of limit cycles for a class of quasihomogeneous systems are studied, with four integrability conditions being obtained, and the existence of seven limit cycles in the neighborhood of origin being proved.

引用

页码：1006 / 1013

页数：8

共 50 条

[1] Bifurcation of Limit Cycles from a Quasi-Homogeneous Degenerate Center
Geng, Fengjie
Lian, Hairong
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (01):
[2] Planar quasi-homogeneous polynomial differential systems and their integrability
Garcia, Belen
Llibre, Jaume
Perez del Rio, Jesus S.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (10) : 3185 - 3204
[3] Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations
Algaba, A.
Garcia, C.
Reyes, M.
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (01) : 314 - 323
[4] Limit Cycles and Integrability of a Class of Quintic System
Tang, Yanli
Zhang, Dongmei
Li, Feng
MATHEMATICS, 2022, 10 (16)
[5] On the Limit Cycles Bifurcating from Piecewise Quasi-Homogeneous Differential Center
Li, Shimin
Wu, Kuilin
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2016, 26 (07):
[6] Bifurcation of limit cycles at infinity in a class of switching systems
Feng Li
Yuanyuan Liu
Pei Yu
Nonlinear Dynamics, 2017, 88 : 403 - 414
[7] Bifurcation of limit cycles at infinity in a class of switching systems
Li, Feng
Liu, Yuanyuan
Yu, Pei
NONLINEAR DYNAMICS, 2017, 88 (01) : 403 - 414
[8] Conditions for origin to be a center and the bifurcation of limit cycles in a class of cubic systems
Zhu, JH
Zhu, SM
CHINESE SCIENCE BULLETIN, 1997, 42 (14): : 1157 - 1161
[9] Conditions for origin to be a center and the bifurcation of limit cycles in a class of cubic systems
ZHU Jiehua and ZHU SimingDepartment of Mathematics
Chinese Science Bulletin, 1997, (14) : 1157 - 1161
[10] Integrability and algebraic limit cycles for polynomial differential systems with homogeneous nonlinearities
Giné, J
Llibre, J
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 197 (01) : 147 - 161

← 1 2 3 4 5 →