Special curves and Hamiltonian systems from polynomial eigenfunctions of an elliptic operator
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916913828855808 |
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| author | Escudero, Juan García |
| author_facet | Escudero, Juan García |
| contents | A family of polynomials linked to the set of the deltoid tangents and its associated algebraic hypersurfaces has been presented in recent years. In this paper we study some related maximising and free plane curves. We also analyse the bifurcations on polynomial Hamiltonian dynamical systems defined from such a family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17065 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Special curves and Hamiltonian systems from polynomial eigenfunctions of an elliptic operator Escudero, Juan García Mathematical Physics Algebraic Geometry 14B05, 14H50, 35J15, 37J38 A family of polynomials linked to the set of the deltoid tangents and its associated algebraic hypersurfaces has been presented in recent years. In this paper we study some related maximising and free plane curves. We also analyse the bifurcations on polynomial Hamiltonian dynamical systems defined from such a family. |
| title | Special curves and Hamiltonian systems from polynomial eigenfunctions of an elliptic operator |
| topic | Mathematical Physics Algebraic Geometry 14B05, 14H50, 35J15, 37J38 |
| url | https://arxiv.org/abs/2508.17065 |