Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/75204

TitleGluing orbit property and partial hyperbolicity
Author(s)Bomfim, Thiago
Torres, M. J.
Varandas, Paulo
KeywordsGluing orbit property
Specification
Partial hyperbolicity
Recurrence
Issue date2021
PublisherElsevier
JournalJournal of Differential Equations
Abstract(s)This article is a follow up of our recent works [7, 8], and here we discuss the relation between the gluing orbit property and partial hyperbolicity. First we prove that a partially hyperbolic diffeomorphism with two saddles with different index, and such that the stable manifold of one of these saddles coincides with the strongly stable leaf does not satisfy the gluing orbit property. In particular, the examples of C 1 -robustly transitive diffeomorphisms introduced by Man˜e [ ´ 20] do not satisfy the gluing orbit property. We also construct some families of partially hyperbolic skew-products satisfying the gluing orbit property and derive some estimates on their quantitative recurrence.
TypeArticle
URIhttps://hdl.handle.net/1822/75204
DOI10.1016/j.jde.2020.09.040
ISSN0022-0396
Publisher versionhttps://www.sciencedirect.com/science/article/abs/pii/S0022039620305350?via%3Dihub
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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