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

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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

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