| 关于Km型合作系统的全局稳定性 |
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| 引用本文： | 黄顺林,何江宏. 关于Km型合作系统的全局稳定性[J]. 安徽大学学报(自然科学版), 2005, 29(4): 13-15 |
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| 作者姓名： | 黄顺林 何江宏 |
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| 作者单位： | 南京财经大学,应用数学系,江苏,南京,210046;安徽大学,数学与计算科学学院,安徽,合肥,230039 |
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| 摘 要： | 研究了一类n维Km型合作系统,利用Km锥和单调流的性质,得到此系统的全局稳定性定理:设f是DRn上一个连续可微的Km型合作向量场,假设如下条件成立:a)D是pm凸的;b)D中的每一个正半轨道有紧闭包;c)至多有一个平衡点,则一定存在唯一的平衡点p,并且是全局渐近稳定的.所得的结果推广了文献[1-3]中相应的结果.
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| 关 键 词： | Km锥 合作系统 平衡点 全局稳定 |
| 文章编号： | 1000-2162(2005)04-0013-03 |
The global stability for cooperative system of the cone of Km |
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| HUANG Shun-lin,HE Jiang-hong. The global stability for cooperative system of the cone of Km[J]. Journal of Anhui University(Natural Sciences), 2005, 29(4): 13-15 |
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| Authors: | HUANG Shun-lin HE Jiang-hong |
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| Abstract: | In the paper,we study the global stability for cooperative system of the cone of K_m and obtain the following theorem:let f be be a continuously differentiable cooperative vector field on D, suppose the following conditions hold:a) D is p_m -convex;b) every forward semi-orbit has compact closure in D;c) there is not more than one equilibrium p, then there is a unique equilibrium p and it is globally asymptotically stable . We extend this result which is the same as those of articles[1-3]. |
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| Keywords: | the cone of K_m cooperative system equilibrium global stability |
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