On the topology of the chain recurrent set of a dynamical system

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dc.contributor.authorAhmadi, Seyyed Alirezaes_ES
dc.date.accessioned2014-10-27T16:55:27Z
dc.date.available2014-10-27T16:55:27Z
dc.date.issued2014-10-01
dc.date.updated2014-10-27T16:25:11Z
dc.description.abstract[EN] In this paper we associate a pseudo-metric to a dynamical system on a compact metric space. We show that this pseudo-metric is identically zero if and only if the system is chain transitive. If we associate this pseudo-metric to the identity map, then we can present a  characterization for connected and totally disconnected metric spaces.en_EN
dc.description.accrualMethodSWORDes_ES
dc.description.bibliographicCitationAhmadi, SA. (2014). On the topology of the chain recurrent set of a dynamical system. Applied General Topology. 15(2):167-174. https://doi.org/10.4995/agt.2014.3050es_ES
dc.description.issue2
dc.description.referencesN. Aoki and K. Hiraide, Topological Theory of Dynamical Systems, Recent Advances. North-Holland Math. Library 52. (North-Holland, Amsterdam 1994)es_ES
dc.description.referencesAthanassopoulos, K. (1996). One-dimensional chain recurrent sets of flows in the 2-sphere. Mathematische Zeitschrift, 223(4), 643-649. doi:10.1007/pl00004279es_ES
dc.description.referencesF. Balibrea, J. S. Cánovas and A. Linero, New results on topological dynamics of antitriangular maps, App. Gen. Topol. 2 (2001), 51-61.es_ES
dc.description.referencesFujita, C., & Kato, H. (2009). Almost periodic points and minimal sets in topological spaces. Applied General Topology, 10(2), 239-244. doi:10.4995/agt.2009.1737es_ES
dc.description.referencesRicheson, D., & Wiseman, J. (2008). Chain recurrence rates and topological entropy. Topology and its Applications, 156(2), 251-261. doi:10.1016/j.topol.2008.07.005es_ES
dc.description.referencesK. Sakai, $C^1$-stably shadowable chain components, Ergodic Theory Dyn. Syst. 28 (2008), 987-1029.es_ES
dc.description.referencesT. Shimomura, On a structure of discrete dynamical systems from the view point of chain components and some applications, Japan. J. Math. (NS) 15 (1989), 99-126.es_ES
dc.description.referencesWen, X., Gan, S., & Wen, L. (2009). <mml:math altimg=«si1.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:msup><mml:mi>C</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math>-stably shadowable chain components are hyperbolic. Journal of Differential Equations, 246(1), 340-357. doi:10.1016/j.jde.2008.03.032es_ES
dc.description.upvformatpfin174es_ES
dc.description.upvformatpinicio167es_ES
dc.description.volume15
dc.identifier.doi10.4995/agt.2014.3050
dc.identifier.eissn1989-4147
dc.identifier.issn1576-9402
dc.identifier.urihttps://riunet.upv.es/handle/10251/43618
dc.languageIngléses_ES
dc.publisherEditorial Universitat Politècnica de València
dc.relation.ispartofApplied General Topology
dc.relation.publisherversionhttps://doi.org/10.4995/agt.2014.3050es_ES
dc.relation.references10.1007/PL00004279es_ES
dc.relation.references10.4995/agt.2001.3015es_ES
dc.relation.references10.4995/agt.2009.1737es_ES
dc.relation.references10.1016/j.topol.2008.07.005es_ES
dc.relation.references10.1017/S0143385707000570es_ES
dc.relation.references10.1016/j.jde.2008.03.032es_ES
dc.rightsReconocimiento - No comercial - Sin obra derivada (by-nc-nd)es_ES
dc.rights.accessRightsAbiertoes_ES
dc.subjectChain recurrentes_ES
dc.subjectChain transitivees_ES
dc.subjectChain componentes_ES
dc.subjectInverse limit space.es_ES
dc.titleOn the topology of the chain recurrent set of a dynamical systemes_ES
dc.typeArtículoes_ES
dc.type.versioninfo:eu-repo/semantics/publishedVersiones_ES
dspace.entity.typePublication
upv.uuida7ec2ee7-7191-49fc-84ef-78f87bf84b17es_ES

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Applied General Topology - Vol 15, No 2 (2014)