On shadowing and hyperbolicity for geodesic flows on surfaces

doi:10.1016/j.na.2017.02.006

Utilize este identificador para referenciar este registo: https://hdl.handle.net/1822/47701

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Campo DC	Valor	Idioma
dc.contributor.author	Bessa, Mário	por
dc.contributor.author	Dias, João Lopes	por
dc.contributor.author	Torres, M. J.	por
dc.date.accessioned	2017-11-23T11:36:06Z	-
dc.date.issued	2017	-
dc.identifier.issn	0362-546X	por
dc.identifier.uri	https://hdl.handle.net/1822/47701	-
dc.description.abstract	We prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing property holds C2-robustly on the metric. Similar results are obtained when considering even feeble properties like the weak shadowing and the specification properties. Despite the Hamiltonian nature of the geodesic flow, the arguments in the present paper differ completely from those used in Bessa et al. (2013) for Hamiltonian systems.	por
dc.description.sponsorship	The authors would like to thank the anonymous referee for several helpful comments. MB was partially supported by FCT - ‘Fundação para a Ciência e a Tecnologia’, through CMA-UBI, project UID/MAT/00212/2013. JLD was partially supported by the Project CEMAPRE-UID/MULTI/00491/2013 ﬁnanced by FCT/MEC through national funds. 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 UID/MAT/00013/2013.	por
dc.language.iso	eng	por
dc.publisher	Elsevier 1	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147408/PT	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147646/PT	por
dc.relation	info:eu-repo/grantAgreement/FCT/5876/147370/PT	por
dc.rights	restrictedAccess	por
dc.subject	geodesic flow	por
dc.subject	hyperbolic sets	por
dc.subject	shadowing	por
dc.subject	specification	por
dc.title	On shadowing and hyperbolicity for geodesic flows on surfaces	por
dc.type	article	por
dc.peerreviewed	yes	por
dc.relation.publisherversion	http://www.sciencedirect.com/science/article/pii/S0362546X17300421	por
oaire.citationStartPage	250	por
oaire.citationEndPage	263	por
oaire.citationVolume	155	por
dc.identifier.doi	10.1016/j.na.2017.02.006	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	Nonlinear Analysis	por
Aparece nas coleções:	CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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