Generalized Noether's theorem for nonholonomic nonpotential system in noninertial reference frames

DOI10.1007/BF02458256zbMath0755.70016OpenAlexW1534952917MaRDI QIDQ1192669

Shao-Kai Luo

Publication date: 27 September 1992

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02458256

zbMATH Keywords

Lagrangianconservation law of dynamicsvariational principles of Jourdain's form

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items

Form invariance and Noether symmetrical conserved quantity of relativistic Birkhoffian systems ⋮ Conserved quantities and adiabatic invariants for El-Nabulsi's fractional Birkhoff system ⋮ Lie algebraic structure and generalized Poisson conservation law for fractional generalized Hamiltonian systems ⋮ Integrating Factors and Conservation Theorems of Nonholonomic Dynamical System of Relative Motion ⋮ The initial motions for holonomic and nonholonomic mechanical systems ⋮ Fractional generalized Hamiltonian equations and its integral invariants ⋮ Fractional generalized Hamiltonian mechanics and Poisson conservation law in terms of combined Riesz derivatives ⋮ Noether's theory for nonholonomic dynamical systems relative to non- inertial reference frame ⋮ A general method of fractional dynamics, i.e., fractional Jacobi last multiplier method, and its applications ⋮ The theory of relativistic analytical mechanics of the rotational systems ⋮ Integral theory for the dynamics of nonlinear nonholonomic system in noninertial reference frames ⋮ Perturbation to Noether symmetries and adiabatic invariants for disturbed Hamiltonian systems based on El-Nabulsi nonconservative dynamics model ⋮ First integrals and integral invariants for variable mass nonholonomic system in noninertial reference frames

Cites Work

• A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss
• Noether's theory in classical nonconservative mechanics
• Conservation laws of dynamical systems via d'Alembert's principle
• Conservation laws of nonholonomic nonconservative dynamical systems
• On the inversion of Noether's theorem in the Lagrangian formalism