Relations between Shadowing and Inverse Shadowing in Dynamical Systems
In this paper, we study relations between shadowing and inverse shadowing for homeomorphisms of a compact space. We present an example of a smooth diffeomorphism of a compact three-dimensional manifold that has the shadowing property and does not have the inverse shadowing property. For some classes...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-01-01
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| Series: | Axioms |
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| Online Access: | http://www.mdpi.com/2075-1680/8/1/11 |
| Summary: | In this paper, we study relations between shadowing and inverse shadowing for homeomorphisms of a compact space. We present an example of a smooth diffeomorphism of a compact three-dimensional manifold that has the shadowing property and does not have the inverse shadowing property. For some classes of inverse shadowing, we construct examples of homeomorphisms that have the inverse shadowing property but do not have the shadowing property. |
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| ISSN: | 2075-1680 |