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ArticleOriginal scientific text

Title

Hyperbolic homeomorphisms and bishadowing

Authors 1, 2

Affiliations

  1. School of Computing and Mathematics, Deakin University, Geelong Campus, Geelong, Victoria 3217, Australia
  2. Institute of Mathematics, Polish Academy of Sciences, Cracow Branch, Św. Tomasza 30, 31-027 Kraków, Poland

Abstract

Hyperbolic homeomorphisms on compact manifolds are shown to have both inverse shadowing and bishadowing properties with respect to a class of δ-methods which are represented by continuous mappings from the manifold into the space of bi-infinite sequences in the manifold with the product topology. Topologically stable homeomorphisms and expanding mappings are also considered.

Keywords

ENG
pseudo-orbit, hyperbolic, shadowing

Bibliography

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Annales Polonici Mathematici
1996-1997/65/2
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Pages:
171-177
Main language of publication
English
Received
1986-02-08
Published
1997
Exact and natural sciences