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https://hdl.handle.net/1822/47702
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Campo DC | Valor | Idioma |
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dc.contributor.author | Bomfim, Thiago | por |
dc.contributor.author | Torres, M. J. | por |
dc.contributor.author | Varandas, Paulo | por |
dc.date.accessioned | 2017-11-23T11:36:33Z | - |
dc.date.issued | 2017 | - |
dc.identifier.issn | 0022-0396 | por |
dc.identifier.uri | https://hdl.handle.net/1822/47702 | - |
dc.description.abstract | The notions of shadowing, specification and gluing orbit property differ substantially for discrete and continuous time dynamical systems. In the present paper we continue the study of the topological and ergodic properties of continuous flows with the (reparametrized) periodic and nonperiodic gluing orbit properties initiated in [3]. We prove these flows satisfy a weak mixing condition with respect to balls and, if the flow is Komuro expansive, the topological entropy is a lower bound for the exponential growth rate of periodic orbits. Moreover, we show that periodic measures are dense in the set of all invariant probability measures and that ergodic measures are generic. Furthermore, we prove that irrational rotations and some minimal flows on tori and circle extensions over expanding maps satisfy gluing orbit properties, thus emphasizing the difference of this property with respect the notion of specification. | por |
dc.description.sponsorship | Acknowledgements. MJT was partially supported by the Research Centre of Mathematics of the University of Minho with the Portuguese Funds from the “Fundação para a Ciência e a Tecnologia”, through the Project ˆ UID/MAT/00013/2013. PV was partially supported by CNPq-Brazil and BREUDS. The authors are grateful to M. Bessa and X. Tian for useful conversations and pointing some references, and to the anonymous referee for useful suggestions to shorten the manuscript. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier | por |
dc.relation | info:eu-repo/grantAgreement/FCT/5876/147370/PT | por |
dc.rights | restrictedAccess | por |
dc.subject | Gluing orbit property | por |
dc.subject | Topological entropy | por |
dc.subject | Periodic orbits | por |
dc.subject | Specification property | por |
dc.subject | Komuro expansiveness | por |
dc.title | Topological features of flows with the reparametrized gluing orbit property | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S0022039617300190 | por |
oaire.citationStartPage | 4292 | por |
oaire.citationEndPage | 4313 | por |
oaire.citationIssue | 8 | por |
oaire.citationVolume | 262 | por |
dc.identifier.doi | 10.1016/j.jde.2017.01.008 | por |
dc.subject.fos | Ciências Naturais::Matemáticas | por |
dc.description.publicationversion | info:eu-repo/semantics/publishedVersion | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Journal of Differential Equations | por |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
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BoToVa.pdf Acesso restrito! | 191,24 kB | Adobe PDF | Ver/Abrir |