Linearizability conditions of time-reversible quartic systems having homogeneous nonlinearities

被引：27
|
作者：
Chen, Xingwu [1 ,2 ,3 ]
Romanovski, Valery G. [3 ]
Zhang, Weinian [1 ,2 ]
机构：
[1] Sichuan Univ, Yangtze Ctr Math, Chengdu 610064, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
[3] Univ Maribor, Ctr Appl Math & Theoret Phys, SI-2000 Krekova, Slovenia
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 5-6期
基金：
中国国家自然科学基金;
关键词：
isochronous center; linearizability; time-reversibility; polynomial system;
D O I：
10.1016/j.na.2007.07.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the linearizability problem for the two-dimensional time-reversible complex system (x)over dot = x + P(x, y), (y)over dot = -y + Q(x, y), where P and Q are homogeneous quartic polynomials. The necessary and sufficient conditions for the linearizability of this system are found. As a corollary, the necessary and sufficient conditions for the origin to be an isochronous center of the planar time-reversible real system (u)over dot = -v + F(u, v), (v)over dot + G(u, v), where F and G are homogeneous quartic polynomials, are obtained. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1525 / 1539
页数：15
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