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Beyond Quartic Hamiltonians

2016/04/19 by P. L. Robinson, Robinson, P. L.
Mathematics · Physics and Astronomy · #15A72 #70H05 #Advanced Differential Equations and Dynamical Systems #Algebraic structures and combinatorial models #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Waves and Solitons #math.CA #msc:15A72 #msc:70H05

paper · pdf · doi:10.48550/arxiv.1604.05683

arxiv created 2016/04/19 · openalex publication_date 2016/04/19 · arxiv updated 2016/04/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the Hamiltonian system generated by a homogeneous binary polynomial U of order greater than four. In particular, we study the circumstances under which the associated Hessian is a Weierstrass \wp function and find that the vanishing of two covariants of U is involved.

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