A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss

DOI10.1007/BF01176873zbMath0612.70017OpenAlexW2017140944MaRDI QIDQ1088425

B. D. Vujanović

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01176873

zbMATH Keywords

conservation lawsnonconservative systemsinfinitesimal transformationsfinite number of degrees of freedomNoether identityclassical Noether-theorydifferential variational principles of JourdainGauss constraint

Mathematics Subject Classification ID

Other variational principles in mechanics (70H30) Variational principles of physics (49S05)

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Cites Work

• Integrating factors and conservation laws for nonconservative dynamical systems
• Noether's theory in classical nonconservative mechanics
• Conservation laws of dynamical systems via d'Alembert's principle
• A group-variational procedure for finding first integrals of dynamical systems
• Generalizations of Noether’s Theorem in Classical Mechanics
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