Isochronicity for a class of reversible systems

被引：5
|
作者：
Wu, Kuilin [1 ]
Zhao, Yulin [1 ]
机构：
[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 01期
关键词：
Period functions; Isochronous centers; Reversible systems; POLYNOMIAL HAMILTONIAN-SYSTEMS; CRITICAL PERIODS; VECTOR-FIELDS; CENTERS;
D O I：
10.1016/j.jmaa.2009.10.054
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the relation between isochronicity and first integral for a class of reversible systems: (x) over dot = -U(x)y, (y) over dot = f(x, y). which associates to the first integral of the form H(x, y) = F(x)y(2) + G(x). Two necessary and sufficient conditions are given to characterize isochronicity for these systems. Moreover. we apply these results to show that there exists a class of polynomial reversible systems of degree n with isochronous center for any n. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：300 / 307
页数：8
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