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metadata.dc.type: | Artigo de Periódico |
Title: | New criteria for hyperbolicity based on periodic sets |
Other Titles: | Bulletin of the Brazilian Mathematical Society |
Authors: | Castro, Armando |
metadata.dc.creator: | Castro, Armando |
Abstract: | We prove some criteria for uniform hyperbolicity based on the periodic points of the transformation. More precisely, if a mild hyperbolicity condition holds for the periodic points of any diffeomorphism in a residual subset of a C 1-open set U then there exists an open and dense subset A ⊂ U of Axiom A diffeomorphisms. Moreover, we also prove a noninvertible version of Ergodic Closing Lemma which we use to prove a counterpart of this result for local diffeomorphisms. |
Keywords: | Ergodic theory Structural Stability Conjecture for Endomorphisms Ergodic Closing Lemma Nonsingular endomorphisms |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14707 |
Issue Date: | 2011 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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Armando Castro.pdf | 268,47 kB | Adobe PDF | View/Open |
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