The multi-scale KAM persistence without a scaling order for Hamiltonian systems
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866910933342748672 |
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| author | Qian, Weichao Li, Yong Yang, Xue |
| author_facet | Qian, Weichao Li, Yong Yang, Xue |
| contents | The persistence of invariant tori in multi-scale Hamiltonian systems is intrinsically linked to the stability of the N-body problem. However, the existing non-degeneracy conditions in disordered scenarios have been formulated too generally, making them difficult to apply directly to celestial mechanics. In this work, we present a readily verifiable non-degeneracy condition for the persistence of invariant tori in disordered multi-scale Hamiltonian systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05369 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The multi-scale KAM persistence without a scaling order for Hamiltonian systems Qian, Weichao Li, Yong Yang, Xue Dynamical Systems The persistence of invariant tori in multi-scale Hamiltonian systems is intrinsically linked to the stability of the N-body problem. However, the existing non-degeneracy conditions in disordered scenarios have been formulated too generally, making them difficult to apply directly to celestial mechanics. In this work, we present a readily verifiable non-degeneracy condition for the persistence of invariant tori in disordered multi-scale Hamiltonian systems. |
| title | The multi-scale KAM persistence without a scaling order for Hamiltonian systems |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2505.05369 |