Stable/unstable continua of cw-expansive flows
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914190329905152 |
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| author | Artigue, Alfonso Carvalho, Bernardo Tacuri, Margoth |
| author_facet | Artigue, Alfonso Carvalho, Bernardo Tacuri, Margoth |
| contents | We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations between them. We prove the existence of continua with a uniform diameter within each sectionally geometric local stable/unstable set for cw-expansive flows defined on Peano continua. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_00514 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stable/unstable continua of cw-expansive flows Artigue, Alfonso Carvalho, Bernardo Tacuri, Margoth Dynamical Systems We introduce distinct definitions of local stable/unstable sets for flows without fixed points, namely, kinematic, geometric, and sectionally geometric, and discuss relations between them. We prove the existence of continua with a uniform diameter within each sectionally geometric local stable/unstable set for cw-expansive flows defined on Peano continua. |
| title | Stable/unstable continua of cw-expansive flows |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2410.00514 |