Generalized Newtonian equations of motion

DOI10.1006/APHY.1999.5929zbMath0952.70018OpenAlexW1989774983MaRDI QIDQ1961061

Robert M. Yamaleev

Publication date: 2 January 2001

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

Full work available at URL: https://doi.org/10.1006/aphy.1999.5929

zbMATH Keywords

kinetic energytotal energyquantizationpotential energyNambu formalismmodified Hamiltonian\(n\)-dimensional phase spacegeneralized Newtonian equations of motionhyperelliptic Jacobi functions

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (4)

Fractional relativistic Yamaleev oscillator model and its dynamical behaviors ⋮ In-phase and anti-phase synchronization in an active Nambu mechanics system ⋮ Generalized Lorentz-force equations ⋮ From generalized Clifford algebras to Nambu's formulation of dynamics

Cites Work

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• On Nambu's generalized Hamiltonian mechanics
• The Nambu mechanics as a class of singular generalized dynamical formalisms
• On generalized Nambu mechanics
• On a geometrical formulation of the Nambu dynamics
• Generalized Hamiltonian Dynamics

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