Dynamics of globally minimizing orbits in contact Hamiltonian systems
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866929651607142400 |
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| author | Xu, Yang Yan, Jun Zhao, Kai |
| author_facet | Xu, Yang Yan, Jun Zhao, Kai |
| contents | In this paper, we study the asymptotic behavior of globally minimizing orbits of contact Hamiltonian systems. Under some assumptions, we prove that the $ω$-limit set of globally minimizing orbits is contained in the set of semi-static orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20658 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dynamics of globally minimizing orbits in contact Hamiltonian systems Xu, Yang Yan, Jun Zhao, Kai Dynamical Systems Analysis of PDEs In this paper, we study the asymptotic behavior of globally minimizing orbits of contact Hamiltonian systems. Under some assumptions, we prove that the $ω$-limit set of globally minimizing orbits is contained in the set of semi-static orbits. |
| title | Dynamics of globally minimizing orbits in contact Hamiltonian systems |
| topic | Dynamical Systems Analysis of PDEs |
| url | https://arxiv.org/abs/2412.20658 |