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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2604.01077 |
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| _version_ | 1866910173868589056 |
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| author | Johansson, Carl Johan Peter Mescolini, Giulia |
| author_facet | Johansson, Carl Johan Peter Mescolini, Giulia |
| contents | We prove that for any Osgood non-Lipschitz modulus of continuity $ω$, flow maps associated with time-periodic $ω$-continuous velocity fields generically (in the sense of Baire) have infinite topological entropy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_01077 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Topological entropy is generically infinite for non-Lipschitz velocity fields Johansson, Carl Johan Peter Mescolini, Giulia Dynamical Systems Analysis of PDEs 37C20, 37B40, 35Q49 We prove that for any Osgood non-Lipschitz modulus of continuity $ω$, flow maps associated with time-periodic $ω$-continuous velocity fields generically (in the sense of Baire) have infinite topological entropy. |
| title | Topological entropy is generically infinite for non-Lipschitz velocity fields |
| topic | Dynamical Systems Analysis of PDEs 37C20, 37B40, 35Q49 |
| url | https://arxiv.org/abs/2604.01077 |