Reducing the equations of motion of certain nonholonomic Chaplygin systems to Lagrangian and Hamiltonian form

DOI10.1016/0021-8928(87)90060-8zbMath0653.70015OpenAlexW2085731315MaRDI QIDQ1108083

N. K. Moshchuk

Publication date: 1987

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(87)90060-8

zbMATH Keywords

first integralsnonholonomic constraintsLagrange's functionn-dimensional toriNonholonomic Chaplygin systemsquasiperiodic windings

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Nonholonomic systems related to the dynamics of a system of particles (70F25) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Lagrange's equations (70H03)

Related Items

Topology and Bifurcations in Nonholonomic Mechanics, On the motion of Chaplygin's sledge, Unnamed Item, Investigation of the motion of a heavy body of revolution on a perfectly rough plane by the Kovacic algorithm, Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems, Variational principles for nonpotential operators, A qualitative analysis of the motion of a heavy solid of resolution on an absolutely rough plane, Poisson structures for two nonholonomic systems with partially reduced symmetries, Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions

Cites Work

• On theorems of dynamics
• On the linear integrals of the Chaplygin equations
• INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES
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