Generalized Noether's theorem for continuous mechanical systems

DOI10.1007/s00707-016-1745-8zbMath1458.70014OpenAlexW2532420200MaRDI QIDQ1708673

Mušicki, Djordje

Publication date: 26 March 2018

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-016-1745-8

Mathematics Subject Classification ID

Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (3)

Generalized Noether's theorem in classical field theory with variable mass ⋮ Noether symmetry and conserved quantity for Hamiltonian system of Herglotz type on time scales ⋮ Caputo \(\Delta\)-type fractional time-scales Noether theorem of Birkhoffian systems

Cites Work

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• Noether's theorem and its inverse of nonholonomic nonconservative dynamical systems
• Extension of Noether's theorem to constrained non-conservative dynamical systems
• Noether's theory in classical nonconservative mechanics
• Conservation laws of dynamical systems via d'Alembert's principle
• Variational methods in nonconservative phenomena
• Analysis of a class of nonconservative systems reducible to pseudoconservative ones and their energy relations
• Generalizations of Noether’s Theorem in Classical Mechanics
• Hamilton's Principle and the Conservation Theorems of Mathematical Physics

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