Removable dynamics in the Nose-Hoover and Moore-Spiegel Oscillators
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866915218176606208 |
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| author | Igra, Eran |
| author_facet | Igra, Eran |
| contents | We study the dynamics of the Nose-Hoover and Moore-Spiegel Oscillators, and in particular, their topological dynamics. We prove the dynamics of both these systems can be reduced to a flow on a solid torus, with at most a finite number of attracting periodic trajectories. As a consequence, we obtain that every periodic trajectory for the Nose-Hoover and the Moore-Spiegel Oscillators is a Torus knot. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16624 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Removable dynamics in the Nose-Hoover and Moore-Spiegel Oscillators Igra, Eran Dynamical Systems Mathematical Physics Classical Analysis and ODEs 37C27 (Primary) 37C10, 37C29, 34C25, 34C23 (Secondary) We study the dynamics of the Nose-Hoover and Moore-Spiegel Oscillators, and in particular, their topological dynamics. We prove the dynamics of both these systems can be reduced to a flow on a solid torus, with at most a finite number of attracting periodic trajectories. As a consequence, we obtain that every periodic trajectory for the Nose-Hoover and the Moore-Spiegel Oscillators is a Torus knot. |
| title | Removable dynamics in the Nose-Hoover and Moore-Spiegel Oscillators |
| topic | Dynamical Systems Mathematical Physics Classical Analysis and ODEs 37C27 (Primary) 37C10, 37C29, 34C25, 34C23 (Secondary) |
| url | https://arxiv.org/abs/2409.16624 |