On the topology of the boundary of a basin of attraction

被引：2
|
作者：
Sanchez-Gabites, J. J. [1 ]
Sanjurjo, J. M. R. [1 ]
机构：
[1] Univ Complutense Madrid, Fac Matemat, E-28040 Madrid, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 135卷 / 12期
关键词：
D O I：
10.1090/S0002-9939-07-08972-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Suppose phi : M x R -> M is a continuous flow on a locally compact metrizable space M and K is an ( asymptotically stable) attractor. Let D =partial derivative A( K) be the boundary of the basin of attraction of K. In the present paper it will be shown how the Conley index of D plays an important role in determining the topological nature of D and allows one to obtain information about the global dynamics of phi in M.
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页码：4087 / 4098
页数：12
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