Isochronicity and linearizability of a planar cubic system

被引：6
|
作者：
Fernandes, Wilker [1 ]
Romanovski, Valery G. [2 ,3 ]
Sultanova, Marzhan [4 ]
Tang, Yilei [2 ,5 ]
机构：
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Ave Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP, Brazil
[2] Univ Maribor, Ctr Appl Math & Theoret Phys, Krekova 2, SI-2000 Maribor, Slovenia
[3] Univ Maribor, Fac Nat Sci & Math, Koroska C 160, SI-2000 Maribor, Slovenia
[4] Al Farabi Kazakh Natl Univ, Fac Mech & Math, 71 Al Farabi Ave, Alma Ata 050040, Kazakhstan
[5] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 450卷 / 01期
基金：
欧盟地平线“2020”; 中国国家自然科学基金;
关键词：
Linearizability; Isochronicity; Darboux linearization; Coexistence of centers; Cubic differential systems; HOMOGENEOUS POLYNOMIALS; DIFFERENTIAL-SYSTEMS; CENTERS; FAMILY;
D O I：
10.1016/j.jmaa.2017.01.058
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the problem of linearizability for a family of cubic complex planar systems of ordinary differential equations. We give a classification of linearizable systems in the family obtaining conditions for linearizability in terms of parameters. We also discuss coexistence of isochronous centers in the systems. (C) 2017 Elsevier Inc. All rights reserved.
引用
收藏
页码：795 / 813
页数：19
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