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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.16169 |
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| _version_ | 1866914112863207424 |
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| author | Díez, Verónica Errasti Rifà, Jordi Gaset Lainz, Manuel |
| author_facet | Díez, Verónica Errasti Rifà, Jordi Gaset Lainz, Manuel |
| contents | We present a new approach to the problem of proving global stability, based on symplectic geometry and with a focus on systems with several conserved quantities. We also provide a proof of instability for integrable systems whose momentum map is everywhere regular. Our results take root in the recently proposed notion of a confining function and are motivated by ghost-ridden systems, for whom we put forward the first geometric definition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16169 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symplectic approach to global stability Díez, Verónica Errasti Rifà, Jordi Gaset Lainz, Manuel Mathematical Physics High Energy Physics - Theory We present a new approach to the problem of proving global stability, based on symplectic geometry and with a focus on systems with several conserved quantities. We also provide a proof of instability for integrable systems whose momentum map is everywhere regular. Our results take root in the recently proposed notion of a confining function and are motivated by ghost-ridden systems, for whom we put forward the first geometric definition. |
| title | Symplectic approach to global stability |
| topic | Mathematical Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.16169 |