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

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

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dc.contributor.author Ahmadi, Seyyed Alireza es_ES
dc.date.accessioned 2014-10-27T16:55:27Z
dc.date.available 2014-10-27T16:55:27Z
dc.date.issued 2014-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/43618
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. es_ES
dc.language Inglés es_ES
dc.publisher Editorial Universitat Politècnica de València
dc.relation.ispartof Applied General Topology
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Chain recurrent es_ES
dc.subject Chain transitive es_ES
dc.subject Chain component es_ES
dc.subject Inverse limit space. es_ES
dc.title On the topology of the chain recurrent set of a dynamical system es_ES
dc.type Artículo es_ES
dc.date.updated 2014-10-27T16:25:11Z
dc.identifier.doi 10.4995/agt.2014.3050
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Ahmadi, 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.2014.3050 es_ES
dc.description.accrualMethod SWORD es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2014.3050 es_ES
dc.description.upvformatpinicio 167 es_ES
dc.description.upvformatpfin 174 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 15
dc.description.issue 2
dc.identifier.eissn 1989-4147
dc.description.references N. Aoki and K. Hiraide, Topological Theory of Dynamical Systems, Recent Advances. North-Holland Math. Library 52. (North-Holland, Amsterdam 1994) es_ES
dc.description.references Athanassopoulos, K. (1996). One-dimensional chain recurrent sets of flows in the 2-sphere. Mathematische Zeitschrift, 223(4), 643-649. doi:10.1007/pl00004279 es_ES
dc.description.references F. 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.references Fujita, C., & Kato, H. (2009). Almost periodic points and minimal sets in topological spaces. Applied General Topology, 10(2), 239-244. doi:10.4995/agt.2009.1737 es_ES
dc.description.references Richeson, D., & Wiseman, J. (2008). Chain recurrence rates and topological entropy. Topology and its Applications, 156(2), 251-261. doi:10.1016/j.topol.2008.07.005 es_ES
dc.description.references K. Sakai, $C^1$-stably shadowable chain components, Ergodic Theory Dyn. Syst. 28 (2008), 987-1029. es_ES
dc.description.references T. 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.references Wen, 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.2008.03.032 es_ES


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