Wandering symmetries of the Lagrange's equations

Yakovenko G.N.
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The dynamic process can be in equal degree adequately prototyped by a family of Lagrange's systems. Symmetry group ‘wanders’ on this family: systems are transformed from one into another. In this work we show that under determined condition the first integral can be obtained by a simple calculations on some of such groups. The main purpose of the work is to show usefulness of wandering symmetry concept. The considered example: flat motion of a charged particle in magnetic field in presence of viscous friction. With the help of three wandering symmetry first integral is calculated.

Keywords: the Lagrange's equations, variational symmetries, divergental symmetries, conformal symmetries, wandering symmetries, the first integrals
Citation in English: Yakovenko G.N. Wandering symmetries of the Lagrange's equations // Computer Research and Modeling, 2010, vol. 2, no. 1, pp. 13-17
Citation in English: Yakovenko G.N. Wandering symmetries of the Lagrange's equations // Computer Research and Modeling, 2010, vol. 2, no. 1, pp. 13-17
DOI: 10.20537/2076-7633-2010-2-1-13-17
URL: http://crm-en.ics.org.ru/journal/article/1644/
Creative Commons License This work is licensed under a Creative Commons Attribution-NoDerivs 3.0 Unported License.
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