$C^1$-generic continuum-wise expansive surface diffeomorphisms
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866912964771053568 |
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| author | Artigue, Alfonso Carvalho, Bernardo Cueto, José |
| author_facet | Artigue, Alfonso Carvalho, Bernardo Cueto, José |
| contents | We exhibit a local residual set of surface $C^1$ diffeomorphisms that are continuum-wise expansive but are not expansive. We also exhibit an open and dense set of surface $C^1$ diffeomorphisms where expansiveness implies being Anosov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12909 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $C^1$-generic continuum-wise expansive surface diffeomorphisms Artigue, Alfonso Carvalho, Bernardo Cueto, José Dynamical Systems 37D20, 37C05 We exhibit a local residual set of surface $C^1$ diffeomorphisms that are continuum-wise expansive but are not expansive. We also exhibit an open and dense set of surface $C^1$ diffeomorphisms where expansiveness implies being Anosov. |
| title | $C^1$-generic continuum-wise expansive surface diffeomorphisms |
| topic | Dynamical Systems 37D20, 37C05 |
| url | https://arxiv.org/abs/2603.12909 |