Integrating factors and conservation laws for nonconservative dynamical systems |
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Authors: | Dj S Djukic Tytti Sutela |
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Institution: | Faculty of Technical Sciences, University of Novi Sad, V. Vlahovica 3,21000 Novi Sad, Yugoslavia |
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Abstract: | A general approach to the construction of conservation laws for classical nonconservative dynamical systems is presented. The conservation laws are constructed by finding corresponding integrating factors for the equations of motion. Necessary conditions for existence of the conservation laws are studied in detail. A connection between an a priori known conservation law and the corresponding integrating factors is established. The theory is applied to two particular problems. |
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