Nambu dynamics and its noncanonical Hamiltonian representation in many degrees of freedom systems

DOI10.1093/PTEP/PTAB075zbMath1487.37073arXiv2103.00688OpenAlexW3169957000WikidataQ114090297 ScholiaQ114090297MaRDI QIDQ5021767

Atsushi Horikoshi

Publication date: 14 January 2022

Published in: Progress of Theoretical and Experimental Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.00688

zbMATH Keywords

Nambu dynamicsnoncanonical Poisson bracketgeneralized Hamiltonian dynamics

Mathematics Subject Classification ID

General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

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Classical Nambu brackets in higher dimensions

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