Conservation laws in classical mechanics for quasi-coordinates

DOI10.1007/BF00279822zbMath0294.70016OpenAlexW2076428157MaRDI QIDQ1212808

Djordje S. Djukic

Publication date: 1974

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00279822

Mathematics Subject Classification ID

Dynamics of a system of particles, including celestial mechanics (70F99) Nonholonomic systems related to the dynamics of a system of particles (70F25) Lagrange's equations (70H03) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (12)

Energy integrals for the systems with nonholonomic constraints of arbitrary form and origin ⋮ On the invariance of time-dependent Hamilton's functions ⋮ The initial motions for holonomic and nonholonomic mechanical systems ⋮ Generalized Noether theorem and Poincaré invariant for nonconservative nonholonomic systems ⋮ Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems ⋮ Noether's theory in classical nonconservative mechanics ⋮ The differential geometric principle of the nonholonomic mechanical systems of Cheatev's type ⋮ Conservation laws for dynamical systems in Poincaré-Cetaev variables ⋮ Noether’s theorem for nonconservative systems in quasicoordinates ⋮ Noether symmetries and integrability in time-dependent Hamiltonian mechanics ⋮ A general field theory of Cauchy continuum: Classical mechanics ⋮ First integrals for some nonlinear time-dependent Hamiltonian systems

Cites Work

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