Classical Nambu brackets in higher dimensions

DOI10.1063/5.0073169zbMath1512.37063arXiv2109.13663MaRDI QIDQ6097823

Atsushi Horikoshi, Cristel Chandre

Publication date: 7 June 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.13663

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) 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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Cites Work

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• On foundation of the generalized Nambu mechanics
• Some remarks concerning Nambu mechanics
• Bi-Hamiltonian Structures of 3D Chaotic Dynamical Systems
• Hamiltonian and quasi-Hamiltonian systems, Nambu–Poisson structures and symmetries
• Generalized Hamiltonian Dynamics
• Remarks on Nambu-Poisson and Nambu-Jacobi brackets
• Nambu dynamics and its noncanonical Hamiltonian representation in many degrees of freedom systems

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