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

Published 23 Aug 2025 in math-ph, math.AG, and math.MP | (2508.17065v1)

Abstract: 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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Authors (1)

Juan García Escudero

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