Normal Forms for Skew-Symmetric Matrices and Hamiltonian Systems with First Integrals Linear in Momenta

DOI10.2307/2046815zbMath0687.58011OpenAlexW4237363490MaRDI QIDQ4206129

Gerard Thompson

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2046815

zbMATH Keywords

equivalenceHamiltonian systemsfirst integral of motion

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Canonical forms, reductions, classification (15A21)

Related Items (5)

Universal qudit Hamiltonians ⋮ Exponential integrators with quadratic energy preservation for linear Poisson systems ⋮ Noncooperative household demand ⋮ Complexity Classification of Local Hamiltonian Problems ⋮ On minimality of determinantal varieties

Cites Work

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• The complete Whittaker theorem for two-dimensional integrable systems and its application
• Integrability of Hamiltonians with third- and fourth-degree polynomial potentials
• A search for bilinear equations passing Hirota’s three-soliton condition. I. KdV-type bilinear equations
• Darboux's problem of quadratic integrals

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