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Empty interior recurrence for continuous flows on surfaces
dc.contributor.author | Jiménez López, Victor | |
dc.contributor.author | Soler López, Gabriel | |
dc.date.accessioned | 2009-11-16T13:03:42Z | |
dc.date.available | 2009-11-16T13:03:42Z | |
dc.date.issued | 2009-11-16T13:03:42Z | |
dc.identifier.issn | 0218-1274 | |
dc.description.abstract | In this paper we characterize topologically the empty interior subsets of a compact surface S which can be ω-limit sets of recurrent orbits (but of no nonrecurrent ones) of continuous flows on S. This culminates the classification of ω-limit sets for surface flows initiated in [Jiménez & Soler, 2001], [Soler, 2003], [Jiménez & Soler, 2004], and [Jiménez & Soler, 2004b]. We also show that this type of ω-limit sets can always be realized (up to topological equivalence) by smooth flows but cannot be realized by analytic flows. | es |
dc.description.sponsorship | We thank the referee for his/her useful comments on this work which helped us to improve it. This work has been partially supported by Dirección General de Investigación (Subdirección General de Proyectos de Investigación), MICINN, grants BFM2002-03512, MTM2005-03868 and MTM2008- 03679/MTM, and Fundación Séneca (Comunidad Autónoma de la Región de Murcia, Spain), grants PI-8/00807/FS/01, 00684/PI/04 and 08667/PI/08. | es |
dc.format | application/pdf | |
dc.language.iso | eng | es |
dc.rights | http://www.worldscinet.com/ijbc/ | es |
dc.title | Empty interior recurrence for continuous flows on surfaces | es |
dc.type | info:eu-repo/semantics/article | es |
dc.subject.other | Matemática Aplicada | es |
dc.subject | Flujos | es |
dc.subject | Conjunto ω-limite | es |
dc.subject | Familia factible | es |
dc.subject | Conjunto excepcional | es |
dc.subject | Conjunto ω-limite excepcional | es |
dc.subject | Flow | es |
dc.subject | ω-limit set | es |
dc.subject | Feasible family | es |
dc.subject | Exceptional set | es |
dc.subject | Exceptional ω-limit set | es |
dc.identifier.uri | http://hdl.handle.net/10317/1178 |
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