Homoclinic classes with shadowing property
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2011
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| _version_ | 1866916763165261824 |
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| author | Lee, Manseob |
| author_facet | Lee, Manseob |
| contents | We show that for $C^1$ generic diffeomorphisms, an isolated homoclinic class is shadowable if and only if homoclinic class is hyperbolic basic set. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1101_1348 |
| institution | arXiv |
| publishDate | 2011 |
| record_format | arxiv |
| spellingShingle | Homoclinic classes with shadowing property Lee, Manseob Dynamical Systems 37C20, 37C05, 37C29, 37D05 We show that for $C^1$ generic diffeomorphisms, an isolated homoclinic class is shadowable if and only if homoclinic class is hyperbolic basic set. |
| title | Homoclinic classes with shadowing property |
| topic | Dynamical Systems 37C20, 37C05, 37C29, 37D05 |
| url | https://arxiv.org/abs/1101.1348 |