Formal first integrals for periodic systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:366

Article

Jiao, Jia^1,2  Shi, Shaoyun^2,3  Xu, Zhiguo² 

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

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

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

关键词: Formal first integral;    Periodic systems;    Floquet's theory;   

DOI  :  10.1016/j.jmaa.2009.12.049

来源: Elsevier

【 摘 要 】

In the present paper, we give an elementary proof for the result of Li et al. (2003) [6] about nonexistence of formal first integrals for periodic systems in a neighborhood of a constant Solution. Moreover. we present a criterion about partial existence of formal first integrals for the periodic system, by using the Floquet's theory. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free