Formal first integrals for periodic systems
Formal first integrals for periodic systems
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DOI：
10.1016/j.jmaa.2009.12.049
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发表时间：
2010-06
影响因子：
1.3
通讯作者：
Jia Jiao;S. Shi;Zhiguo Xu
中科院分区：
文献类型：
--
作者：
Jia Jiao;S. Shi;Zhiguo Xu
本文给出了Li等（2003）[6]关于周期系统在常解邻域内形式首次积分不存在的结果的初等证明.利用Floquet理论，给出了周期系统形式第一积分部分存在的一个判据。
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.