Lie symmetries and conserved quantities of nonconservative nonholonomic systems in phase space

DOI10.1007/BF02464936zbMath0941.70012OpenAlexW2320873830MaRDI QIDQ1818152

Rongwan Liu, Jing-li Fu

Publication date: 7 August 2000

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

Full work available at URL: https://doi.org/10.1007/bf02464936

zbMATH Keywords

invariancephase spaceLie symmetryinfinitesimal transformationsnonconservative nonholonomic systems

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) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (4)

The Lie symmetries and conserved quantities of variable-mass nonholonomic system of non-Chetaev's type in phase space ⋮ Noether theorem for nonholonomic nonconservative mechanical systems in phase space on time scales ⋮ Form invariants, noether and lie symmetry of non-conservative hamiltonian systems in phase space ⋮ Lie symmetries and conserved quantities of second-order nonholonomic mechanical system

Cites Work

• Unnamed Item
• Noether's theorem and its inverse of nonholonomic nonconservative dynamical systems
• Dynamical symmetries and conserved quantities
• Symmetries and differential equations

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