Non-Noether symmetries and Lutzky conserved quantities for mechanico-electrical systems |
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| Affiliation: | 1. Department of Physics, Shangqiu Normal University, Shangqiu 476000, China;2. Department of Mechanics, Shanghai University, Shanghai 200444, China;3. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;4. Departamento de Matemática Aplicada TTII, E.T.S.I. Telecomunicación, Universidad Politécnica de Madrid, 28040 Madrid, Spain;5. State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | We apply the non-Noether symmetry theory for mechanical systems to Lagrange–Maxwell mechanico-electrical systems. For these systems, we derive the Lutzky conserved quantities from the corresponding equations of motion, the non-conservative and the dissipative forces, and the Lagrangian. Also, a condition that characterizes when a non-Noether symmetry leads to a Noether conservation law is presented. |
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