Hamel's formalism for infinite-dimensional mechanical systems

DOI10.1007/s00332-016-9332-7zbMath1360.70023OpenAlexW2507462434WikidataQ57427621 ScholiaQ57427621MaRDI QIDQ525500

Donghua Shi, Dmitry V. Zenkov, Yakov Berchenko-Kogan, Anthony M. Bloch

Publication date: 4 May 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00332-016-9332-7

zbMATH Keywords

symmetrymomentumnonholonomic constraintsHamel equations

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Nonholonomic dynamical systems (37J60)

Related Items (8)

Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems ⋮ Hamel's formalism for classical field theories ⋮ A variational integrator for the Chaplygin-Timoshenko sleigh ⋮ Multisymplectic unscented Kalman filter for geometrically exact beams ⋮ On noisy extensions of nonholonomic constraints ⋮ A free energy Lagrangian variational formulation of the Navier–Stokes–Fourier system ⋮ On Hamel’s equations ⋮ Discrete Hamiltonian variational mechanics and Hamel's integrators

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