Hyperbolic homeomorphisms and bishadowing

• Autorzy: P. E. Kloeden , J. Ombach
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

pseudo-orbit; hyperbolic; shadowing

Kategorie tematyczne

• 54H20: Topological dynamics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1996-1997
• Tom: 65
• Numer: 2
• Strony: 171-177

Daty

wydano

1997

otrzymano

1986-02-08

Twórcy

autor

P. E. Kloeden

• School of Computing and Mathematics, Deakin University, Geelong Campus, Geelong, Victoria 3217, Australia

autor

J. Ombach

• Institute of Mathematics, Polish Academy of Sciences, Cracow Branch, Św. Tomasza 30, 31-027 Kraków, Poland

Bibliografia

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