Sánchez Gabites, Jaime Jorge and Rodríguez Sanjurjo, José Manuel
(2007)
*On the topology of the boundary of a basin of attraction.*
Proceedings of the American Mathematical Society, 135
(12).
pp. 4087-4098.
ISSN 0002-9939

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Official URL: http://www.ams.org/journals/proc/2007-135-12/S0002-9939-07-08972-1/S0002-9939-07-08972-1.pdf

## Abstract

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.

Item Type: | Article |
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Subjects: | Sciences > Mathematics > Geometry Sciences > Mathematics > Topology |

ID Code: | 16805 |

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Deposited On: | 22 Oct 2012 10:48 |

Last Modified: | 07 Feb 2014 09:36 |

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