Generalized Isochronous Centers for Complex Systems

被引：0
|
作者：
Qin Long WANG School of Information and Mathematics
机构：
来源：
Acta Mathematica Sinica,English Series | 2010年 / 26卷 / 09期
基金：
中国国家自然科学基金;
关键词：
Generalized isochronous center; generalized period constant; time-angle difference; complex polynomial system;
D O I：
暂无
中图分类号：
O157.5 [图论]; O231 [控制论（控制论的数学理论）];
学科分类号：
070104 ; 070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要：
In this paper, the definition of generalized isochronous center is given in order to studyunitedly real isochronous center and linearizability of polynomial differential systems. An algorithmto compute generalized period constants is obtained, which is a good method to find the necessaryconditions of generalized isochronous center for any rational resonance ratio. Its two linear recursiveformulas are symbolic and easy to realize with computer algebraic system. The function of time-angledifference is introduced to prove the sufficient conditions. As the application, a class of real cubicKolmogorov system is investigated and the generalized isochronous center conditions of the origin areobtained.
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页码：1779 / 1792
页数：14
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