Product Anosov diffeomorphisms and the two-sided limit shadowing property
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2015
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| _version_ | 1866909354583654400 |
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| author | Carvalho, Bernardo |
| author_facet | Carvalho, Bernardo |
| contents | We characterize product Anosov diffeomorphisms in terms of the two-sided limit shadowing property. It is proved that an Anosov diffeomorphism is a product Anosov diffeomorphism if and only if any lift to the universal covering has the unique two-sided limit shadowing property. Then we introduce two maps in a suitable Banach space such that fixed points of these maps are related with shadowing orbits on the universal covering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1509_04922 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | Product Anosov diffeomorphisms and the two-sided limit shadowing property Carvalho, Bernardo Dynamical Systems We characterize product Anosov diffeomorphisms in terms of the two-sided limit shadowing property. It is proved that an Anosov diffeomorphism is a product Anosov diffeomorphism if and only if any lift to the universal covering has the unique two-sided limit shadowing property. Then we introduce two maps in a suitable Banach space such that fixed points of these maps are related with shadowing orbits on the universal covering. |
| title | Product Anosov diffeomorphisms and the two-sided limit shadowing property |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/1509.04922 |