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| 有关吸引域几个性质的探讨 | |
| 引用本文： | 李刚,刘祥森,刘洪霞.有关吸引域几个性质的探讨[J].山东科技大学学报(自然科学版),2007,26(2):112-114. |
| 作者姓名： | 李刚 刘祥森 刘洪霞 |
| 作者单位： | 1. 山东科技大学,信息科学与工程学院,山东,青岛,266510 2. 中北大学,数学系,山西,太原030051 3. 山东科技大学,理学院,山东,青岛,266510 |
| 摘 要： | 讨论了动力系统的稳定性与吸引性之间的关系,用拓扑学分析的方法和动力系统的相关理论,在Lyapunov稳定性条件下,得到了几种吸引的等价性,推广了文献6]中有关结论,使其成为本文的直接推论。 |
| 关 键 词： | 动力系统 正Lyapunov稳定性 正向极限集 正向延伸极限集 吸引子 |
| 文章编号： | 1672-3767（2007）02-0112-03 |
| 收稿时间： | 2006-07-17 |
| 修稿时间： | 2006-07-17 |
Discussion of a Few Properties on Attraction Region |
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| LI Gang,LIU Xiang-sen,LIU Hong-xia.Discussion of a Few Properties on Attraction Region[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,2007,26(2):112-114. | |
| Authors: | LI Gang LIU Xiang-sen LIU Hong-xia |
| Institution: | 1. College of Info Science and Eng. , SUST, Qingdao, Shandong 266510, China 2. Dept. of Mathematics, Zhongbei University, Taiyuan, Shanxi 030051, China; 3. College of Sciences, SUST, Qingdao, Shandong 266510, China |
| Abstract: | The main purpose of this paper is to discuss the relationship between attraction and Lyapunov stability in dynamical systems. By analysis of general topology and the related theory of dynamical system, under the condition of Lyapunov stability, we got the equivalence of some attractors, generalized results of6], and made them be the corollaries of this paper. |
| Keywords: | dynamic system positive Lyapunov stability positive limit set positive prolongation limit set attractor |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |