Symbolic Computations of the Two-Colored Diagrams for Central Configurations of the Planar N-vortex Problem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915152659480576 |
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| author | Yu, Xiang Zhu, Shuqiang |
| author_facet | Yu, Xiang Zhu, Shuqiang |
| contents | We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar N-vortex problem. The initial step of the singular sequence method involves identifying all two-colored diagrams. These diagrams represent potential scenarios where finiteness may fail. We develop a symbolic computation algorithm to determine all two-colored diagrams for central configurations of the planar N-vortex problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_10472 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Symbolic Computations of the Two-Colored Diagrams for Central Configurations of the Planar N-vortex Problem Yu, Xiang Zhu, Shuqiang Dynamical Systems Mathematical Physics 76B47, 70F10, 37Nxx We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar N-vortex problem. The initial step of the singular sequence method involves identifying all two-colored diagrams. These diagrams represent potential scenarios where finiteness may fail. We develop a symbolic computation algorithm to determine all two-colored diagrams for central configurations of the planar N-vortex problem. |
| title | Symbolic Computations of the Two-Colored Diagrams for Central Configurations of the Planar N-vortex Problem |
| topic | Dynamical Systems Mathematical Physics 76B47, 70F10, 37Nxx |
| url | https://arxiv.org/abs/2502.10472 |