Conformal invariance for the nonholonomic constrained mechanical system of non-Chetaev's type

DOI10.1007/S11012-010-9414-9zbMath1293.70051OpenAlexW2149250235MaRDI QIDQ399136

JianLe Cai, ShengShui Shi, Jie Xu, HuaJi Fang

Publication date: 19 August 2014

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-010-9414-9

zbMATH Keywords

conformal invarianceLie symmetryconserved quantitynonholonomic system of non-Chetaev's type

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)

Related Items (6)

Basic theory of fractional conformal invariance of Mei symmetry and its applications to physics ⋮ Conformal invariance and Mei conserved quantity for generalized Hamilton systems with additional terms ⋮ Conformal invariance of Mei symmetry for discrete Lagrangian systems ⋮ Special Lie symmetry and Hojman conserved quantity of Appell equations for a Chetaev nonholonomic system ⋮ A new type of fractional Lie symmetrical method and its applications ⋮ Conformal invariance and conserved quantity of Mei symmetry for Appell equations in a nonholonomic system of Chetaev's type

Cites Work

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• Generalized conformal symmetries and its application of Hamilton systems
• Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems
• Lie-group method of solution for steady two-dimensional boundary-layer stagnation-point flow towards a heated stretching sheet placed in a porous medium
• Noether's theory in classical nonconservative mechanics
• Conformal invariance and conserved quantity for the nonholonomic system of Chetaev's type
• On Noether symmetries and form invariance of mechanico-electrical systems
• Lie symmetries, perturbation to symmetries and adiabatic invariants of Lagrange system
• Mei Symmetry and Lie Symmetry of the Rotational Relativistic Variable Mass System

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