Lie symmetries and conserved quantities of second-order nonholonomic mechanical system
DOI10.1007/BF02437722zbMath1021.70006OpenAlexW2373772547MaRDI QIDQ1861059
Publication date: 12 March 2003
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02437722
inverse problemconserved quantitiesLie symmetriesdetermining equationsinfinitesimal transformationsstructure equationrestriction equationssecond-order nonholonomic mechanical systems
Nonholonomic systems related to the dynamics of a system of particles (70F25) Inverse problems for systems of particles (70F17) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)
Cites Work
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- Noether's theorem and its inverse of nonholonomic nonconservative dynamical systems
- The conservation law of second-order non-holonomic system of non-Chetaev's type
- Lie symmetries and conserved quantities of holonomic variable mass systems
- Lie symmetries and conserved quantities of nonconservative nonholonomic systems in phase space
- Dynamical symmetries and conserved quantities
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