Accumulation points of flows on the Klein bottle

Gabriel Soler López

doi:10.3934/dcds.2003.9.497

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2003, Volume 9, Issue 2: 497-503. Doi: 10.3934/dcds.2003.9.497

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Accumulation points of flows on the Klein bottle

Gabriel Soler López^1,

1.
Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, C/ Alfonso XIII, 52. 30203-Cartagena

Received: September 30, 2001

Revised: February 28, 2002

Published: February 2003

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Abstract

The aim of this paper is to give a topological characterization of the sets that can be $\omega$-limit of continuous dynamical systems in the Klein bottle. This problem has been recently solved for the case of the projective plane answering a problem proposed by Anosov.

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Mathematics Subject Classification: 37C10, 37E35, 34E99.

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