# Hyperbolic homeomorphisms and bishadowing

Annales Polonici Mathematici (1997)

- Volume: 65, Issue: 2, page 171-177
- ISSN: 0066-2216

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topP. E. Kloeden, and J. Ombach. "Hyperbolic homeomorphisms and bishadowing." Annales Polonici Mathematici 65.2 (1997): 171-177. <http://eudml.org/doc/269979>.

@article{P1997,

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.},

author = {P. E. Kloeden, J. Ombach},

journal = {Annales Polonici Mathematici},

keywords = {pseudo-orbit; hyperbolic; shadowing; hyperbolic homeomorphism; topologically stable homeomorphism; expanding map},

language = {eng},

number = {2},

pages = {171-177},

title = {Hyperbolic homeomorphisms and bishadowing},

url = {http://eudml.org/doc/269979},

volume = {65},

year = {1997},

}

TY - JOUR

AU - P. E. Kloeden

AU - J. Ombach

TI - Hyperbolic homeomorphisms and bishadowing

JO - Annales Polonici Mathematici

PY - 1997

VL - 65

IS - 2

SP - 171

EP - 177

AB - 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.

LA - eng

KW - pseudo-orbit; hyperbolic; shadowing; hyperbolic homeomorphism; topologically stable homeomorphism; expanding map

UR - http://eudml.org/doc/269979

ER -

## References

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