On the integration methods of nonholonomic dynamics

DOI10.1016/S0020-7462(99)00011-6zbMath1006.70014OpenAlexW2071622075MaRDI QIDQ1609284

Feng-Xiang Mei

Publication date: 15 August 2002

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0020-7462(99)00011-6

zbMATH Keywords

nonholonomic systemsNoether symmetryLie symmetryintegration methodsfield methodPoisson theoryWhittaker method

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) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)

Related Items (10)

Conservation laws of nonconservative nonholonomic system based on Herglotz variational problem ⋮ Invariants and approximate solutions for certain non-linear oscillators by means of the field method ⋮ On the field method in non holonomic mechanics ⋮ The method of variation on parameters for integration of a generalized Birkhoffian system ⋮ Algebraic structure and Poisson's integral theory of \(f(R)\) cosmology ⋮ Perturbation to Lie symmetry and adiabatic invariants for Birkhoffian systems on time scales ⋮ Noether's theorem of nonholonomic systems in optimal control ⋮ Construction of exact invariants of time-dependent linear nonholonomic dynamical systems ⋮ Birkhoffian formulations of nonholonomic constrained systems ⋮ Nonintegrability of the Suslov problem

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