Geodesic
Hyperbolic homeomorphisms and bishadowing
Annales Polonici Mathematici, Tome 65 (1996) no. 2, pp. 171-177.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-65-2-171-177
Keywords: pseudo-orbit, hyperbolic, shadowing

P. Kloeden 1 ; J. Ombach 1

1 
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P. Kloeden; J. Ombach. Hyperbolic homeomorphisms and bishadowing. Annales Polonici Mathematici, Tome 65 (1996) no. 2, pp. 171-177. doi : 10.4064/ap-65-2-171-177. http://geodesic.mathdoc.fr/articles/10.4064/ap-65-2-171-177/

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