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Special curves and Hamiltonian systems from polynomial eigenfunctions of an elliptic operator

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arxiv 2508.17065 v1 pith:DE4EGW42 submitted 2025-08-23 math-ph math.AGmath.MP

Juan García Escudero This is my paper · ORCID
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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.

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