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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2410.01455 |
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| _version_ | 1866910628637048832 |
|---|---|
| author | Huynh, Manh Khang |
| author_facet | Huynh, Manh Khang |
| contents | We present a simple construction of an ODE on $\mathbb{R}^{n}$ where the vector field is smooth, and finite-time blow-up is equivalent to the halting problem for a universal Turing machine. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_01455 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A simple geometric construction of an ODE with undecidable blow-ups Huynh, Manh Khang Dynamical Systems Classical Analysis and ODEs We present a simple construction of an ODE on $\mathbb{R}^{n}$ where the vector field is smooth, and finite-time blow-up is equivalent to the halting problem for a universal Turing machine. |
| title | A simple geometric construction of an ODE with undecidable blow-ups |
| topic | Dynamical Systems Classical Analysis and ODEs |
| url | https://arxiv.org/abs/2410.01455 |