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.

引用

页码：4087 / 4098

页数：12

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