Rational first integrals for periodic systems

被引：1

作者：

Jiao, Jia ^{[1
]}

Shi, Shaoyun ^{[2
,3
]}

Zhou, Qingjian ^{[1
]}

机构：

[1] Dalian Nationalities Univ, Coll Sci, Dalian 116600, Peoples R China

[2] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

[3] Jilin Univ, Key Lab Symbol Computat & Knowledge Engn, Minist Educ, Changchun 130012, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2011年 / 62卷 / 02期

关键词：

First integral; Floquet's theory; Integrability; Partial integrability; PARTIAL INTEGRABILITY; DIFFERENTIAL-EQUATIONS; NONLINEAR-SYSTEMS; NONINTEGRABILITY; NONEXISTENCE;

D O I：

10.1007/s00033-010-0111-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by using the Floquet's theory, we present some criteria for non-existence and partial existence of rational first integrals for periodic systems in a neighborhood of the constant solution.

引用

页码：233 / 243

页数：11

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