scientific article

zbMath1354.70031MaRDI QIDQ3612674

Marcelo Hissakiti Kobayashi, Waldyr Muniz Oliva

Publication date: 10 March 2009

Full work available at URL: http://www.revistas.usp.br/resenhasimeusp/article/download/75120/78680

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zbMATH Keywords

symmetryreductionconservation of volumeinverse problem of Lagrangian mechanicsconstrained Birkhoff systemsunconstrained Birkhoff systems

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03) Nonholonomic dynamical systems (37J60)

Related Items (4)

A geometric Birkhoffian formalism for nonlinear RLC networks ⋮ Liapunov's direct method for Birkhoffian systems: Applications to electrical networks ⋮ A note on the conservation of energy and volume in the setting of nonholonomic mechanical systems ⋮ Birkhoffian systems in infinite dimensional manifolds

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