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March  2003, 9(2): 497-503. doi: 10.3934/dcds.2003.9.497

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, Spain

Received  October 2001 Revised  March 2002 Published  December 2002

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.
Keywords: Flow, critical point, recurrent point, $\omega$-limit set., orbit, regular orbit.
Mathematics Subject Classification: 37C10, 37E35, 34E9.
Citation: Gabriel Soler López. Accumulation points of flows on the Klein bottle. Discrete & Continuous Dynamical Systems - A, 2003, 9 (2) : 497-503. doi: 10.3934/dcds.2003.9.497
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