Generalized Noether theorem and Poincaré invariant for nonconservative nonholonomic systems

DOI10.1007/BF00673911zbMath0702.70017MaRDI QIDQ915508

Xin Li, Zi-ping Li

Publication date: 1990

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Noether's theoremnonconservative systemsnonlinear nonholonomic constraintsPoincaré invariant

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30)

Related Items (7)

Transformation properties of constrained Hamiltonian system and PBRST charge ⋮ Symmetry in extended phase space for singular Lagrangian with subsidiary constraints ⋮ Symmetry and conserved quantities for non-material volumes ⋮ Transformation properties of dynamical systems at the quantum level ⋮ Generalized Noether theorems and applications ⋮ Quantal Poincaré-Cartan integral invariant for field theory ⋮ The quantal Poincaré-Cartan integral invariantfor singular higher-order Lagrangian in field theories

Cites Work

• Integrating factors and conservation laws for nonconservative dynamical systems
• Extension of Noether's theorem to constrained non-conservative dynamical systems
• Quadratic integrals for linear nonconservative systems and their connection with the inverse problem of Lagrangian dynamics
• Conservation laws in classical mechanics for quasi-coordinates
• Noether's theory in classical nonconservative mechanics
• Conservation laws of dynamical systems via d'Alembert's principle
• On some conservation laws of conservative and non-conservative dynamic systems
• Noether's theory for non-conservative generalised mechanical systems
• A Variational Principle for Non-Conservative Dynamical Systems

This page was built for publication: Generalized Noether theorem and Poincaré invariant for nonconservative nonholonomic systems