Mei Adiabatic Invariants Induced by Perturbation of Mei Symmetry for Nonholonomic Controllable Mechanical Systems

DOI10.1088/0253-6102/54/5/02zbMath1437.70024OpenAlexW2397880423MaRDI QIDQ3010220

Ning Ding, Jian-Hui Fang

Publication date: 30 June 2011

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/54/5/02

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) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11)

Related Items (5)

Basic theory of fractional Mei symmetrical perturbation and its applications ⋮ A new type of adiabatic invariants for disturbed Birkhoffian system of Herglotz type ⋮ New adiabatic invariants for disturbed non-material volumes ⋮ Lie symmetries, symmetrical perturbation and a new adiabatic invariant for disturbed nonholonomic systems ⋮ Special Mei symmetry and approximate conserved quantity of Appell equations for a weakly nonholonomic system

This page was built for publication: Mei Adiabatic Invariants Induced by Perturbation of Mei Symmetry for Nonholonomic Controllable Mechanical Systems