Simple evaluation of Casimir invariants in finite-dimensional Poisson systems

DOI10.1016/S0375-9601(98)00125-XzbMath0928.37008arXiv1910.03894OpenAlexW2015601452MaRDI QIDQ5906891

Víctor Fairén, Benito Hernández-Bermejo

Publication date: 1 April 1998

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03894

zbMATH Keywords

Casimir invariantsfinite-dimensional Poisson systemsstructure matrix algebra

Mathematics Subject Classification ID

Free motion of a rigid body (70E15) Hamilton's equations (70H05) Dynamics induced by flows and semiflows (37C10)

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Cites Work

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• A constant of motion in 3D implies a local generalized Hamiltonian structure
• Generalized Hamiltonian structures for systems in three dimensions with a rescalable constant of motion