| 摘要: |
| 讨论动力系统中Poisson稳定运动及Lyapunov稳定性的性质及它们之间的关系,得到有关Posison稳定运动的结果,在一定程度上推广了文献[3]的结论. |
| 关键词: Poisson稳定运动 Lyapunov稳定性 极限集 一阶延伸极限集 |
| DOI： |
| 投稿时间：2004-10-25修订日期：2005-01-10 |
| 基金项目: |
|
| Recurrence Motion in Dynamical System |
|
Li Gang
|
| (Deparment of Mathematics, Shandong University of Science and Technology, Qingdao, Shandong, 266510, China) |
| Abstract: |
| The main purpose of this paper is to discuss the relationship between Poisson stability and Lyapunov stability in dynamical systems and their properties,and to get some results of Poisson stability which in some extent generalizes the results of reference[3]. |
| Key words: Poisson stability Lyapunov stability limit set prolongational limit set |
