Lie symmetries and conserved quantities of constrained mechanical systems (Q1575044)
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scientific article; zbMATH DE number 1490915
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lie symmetries and conserved quantities of constrained mechanical systems |
scientific article; zbMATH DE number 1490915 |
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Lie symmetries and conserved quantities of constrained mechanical systems (English)
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21 March 2002
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Using the Noether method in the form proposed by \textit{B. D. Vujanovic} and \textit{S. E. Jones} [Variational methods in nonconservative phenomena. Mathematics in Science and Engineering, 182. Boston, MA etc.: Academic Press, Inc. x (1989; Zbl 0715.70003)], the author studies conserved quantities for constrained mechanical systems with finite number of degrees of freedom. Both direct (given Lie symmetries, find a conserved quantity) and inverse (given conserved quantity, find a Lie symmetry) problem are treated. Several illustrative examples are presented.
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conservation law
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direct problem
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inverse problem
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Noether method
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constrained mechanical systems
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Lie symmetry
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