Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/27491
Título: | Shadowing is generic: a continuous map case |
Autor(es): | Kościelniak, Piotr Mazur, Marcin Oprocha, Piotr Pilarczyk, Pawel |
Palavras-chave: | Continuous map Continuous surjection Genericity Inverse shadowing Manifold Periodic shadowing Pseudotrajectory Semidynamical system Shadowing C degrees topology |
Data: | 8-Jan-2014 |
Editora: | Amer Inst Mathematical Sciences |
Revista: | Discrete Contin. Dyn. Syst. (dcds-A) |
Resumo(s): | We prove that shadowing (the pseudo-orbit tracing property), pe- riodic shadowing (tracing periodic pseudo-orbits with periodic real trajecto- ries), and inverse shadowing with respect to certain families of methods (tracing all real orbits of the system with pseudo-orbits generated by arbitrary methods from these families) are all generic in the class of continuous maps and in the class of continuous onto maps on compact topological manifolds (with or with- out boundary) that admit a decomposition (including triangulable manifolds and manifolds with handlebody). |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/27491 |
DOI: | 10.3934/dcds.2014.34.3591 |
ISSN: | 1078-0947 1553-5231 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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2013shad.pdf Acesso restrito! | Main article | 393,93 kB | Adobe PDF | Ver/Abrir |