Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929592363646976 |
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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 five-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 determined all such diagrams for the planar five-vortex problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09715 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem Yu, Xiang Zhu, Shuqiang Dynamical Systems 76B47, 70F10, 37Nxx We apply the singular sequence method to investigate the finiteness problem for stationary configurations of the planar five-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 determined all such diagrams for the planar five-vortex problem. |
| title | Two Colored Diagrams for Central Configurations of the Planar Five-vortex Problem |
| topic | Dynamical Systems 76B47, 70F10, 37Nxx |
| url | https://arxiv.org/abs/2411.09715 |