Escape from a potential well under forcing and damping with application to ship capsize
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912000373686272 |
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| author | McSweeney-Davis, Alex MacKay, R. S. Naik, Shibabrat |
| author_facet | McSweeney-Davis, Alex MacKay, R. S. Naik, Shibabrat |
| contents | Escape from a potential well occurs in a wide variety of physical systems from chemical reactions to ship capsize. In these situations escape often occurs by passage over a normally hyperbolic submanifold (NHS). This paper describes the computational implementation of an algorithm to identify the NHS of a two degree of freedom model for ship motion under the influence of damping and aperiodic forcing. Additionally we demonstrate how the stable manifolds of these submanifolds can be used to classify initial ship states as safe or unsafe. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00065 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Escape from a potential well under forcing and damping with application to ship capsize McSweeney-Davis, Alex MacKay, R. S. Naik, Shibabrat Dynamical Systems Classical Analysis and ODEs 34D10, 34D35, 34D05, 37D10, 37M21, 65L10 Escape from a potential well occurs in a wide variety of physical systems from chemical reactions to ship capsize. In these situations escape often occurs by passage over a normally hyperbolic submanifold (NHS). This paper describes the computational implementation of an algorithm to identify the NHS of a two degree of freedom model for ship motion under the influence of damping and aperiodic forcing. Additionally we demonstrate how the stable manifolds of these submanifolds can be used to classify initial ship states as safe or unsafe. |
| title | Escape from a potential well under forcing and damping with application to ship capsize |
| topic | Dynamical Systems Classical Analysis and ODEs 34D10, 34D35, 34D05, 37D10, 37M21, 65L10 |
| url | https://arxiv.org/abs/2311.00065 |