Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms
We show that -generically, if a volume-preserving diffeomorphism has the orbital shadowing property, then the diffeomorphism is Anosov.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/693032 |
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| _version_ | 1832558763005968384 |
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| author | Manseob Lee |
| author_facet | Manseob Lee |
| author_sort | Manseob Lee |
| collection | DOAJ |
| description | We show that -generically, if a volume-preserving diffeomorphism has the orbital shadowing property, then the diffeomorphism is Anosov. |
| format | Article |
| id | doaj-art-ed2edb95406e4de18db887327e9c61e9 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-ed2edb95406e4de18db887327e9c61e92025-02-03T01:31:36ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/693032693032Orbital Shadowing for -Generic Volume-Preserving DiffeomorphismsManseob Lee0Department of Mathematics, Mokwon University, Dajeon 302-729, Republic of KoreaWe show that -generically, if a volume-preserving diffeomorphism has the orbital shadowing property, then the diffeomorphism is Anosov.http://dx.doi.org/10.1155/2013/693032 |
| spellingShingle | Manseob Lee Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms Abstract and Applied Analysis |
| title | Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms |
| title_full | Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms |
| title_fullStr | Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms |
| title_full_unstemmed | Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms |
| title_short | Orbital Shadowing for -Generic Volume-Preserving Diffeomorphisms |
| title_sort | orbital shadowing for generic volume preserving diffeomorphisms |
| url | http://dx.doi.org/10.1155/2013/693032 |
| work_keys_str_mv | AT manseoblee orbitalshadowingforgenericvolumepreservingdiffeomorphisms |