J4

• 数学 • 上一篇    下一篇

周 期 系 统 的 形 式 首 次 积 分

焦 佳, 许志国   

  1. 吉林大学 数学研究所, 长春 130012
  • 收稿日期:2008-10-31 修回日期:1900-01-01 出版日期:2009-03-26 发布日期:2009-03-26
  • 通讯作者: 许志国

Formal First Integrals for Periodic Systems

JIAO Jia, XU Zhiguo   

  1. Institute of Mathematics, Jilin University, Changchun 130012, China
  • Received:2008-10-31 Revised:1900-01-01 Online:2009-03-26 Published:2009-03-26
  • Contact: XU Zhiguo

摘要: 利用Floquet理论, 给出了周期系统在平衡点附近存在 形式首次积分的必要条件及系统在平衡点附近形式首次积分部分存在的判别准则.

关键词: Floquet理论, 平衡点, 首次积分

Abstract: Using the Floquet’s theory firstly, we gave the necessary condition of formal first integrals in a neighborhood of a constant solution for the periodic systems. Furthermore, we also gave a criterion for the partial existence of formal first integrals for these systems near some neighborhood of a constant solution.

Key words: Floquet’s theory, constant solution, first integral

中图分类号: 

  • O175