Non-Noether symmetries and conserved quantities of the Lagrange mechano-electrical systems |
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Authors: | Fu Jing-Li Chen Li-Qun and Liu Rong-Wan |
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Institution: | Department of Applied Physics, Zhejiang University of Science, Hangzhou 310018, China; Department of Mechanics, Shanghai University, Shanghai 200072, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; Shaoguan University, Shaoguan 512005, China |
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Abstract: | This paper focuses on studying non-Noether symmetries and conserved quantities of Lagrange mechano-electrical dynamical systems. Based on the relationships between the motion and Lagrangian, we present conservation laws on non-Noether symmetries for Lagrange mechano-electrical dynamical systems. A criterion is obtained on which non-Noether symmetry leads to Noether symmetry of the systems. The work also gives connections between the non-Noether symmetries and Lie point symmetries, and further obtains Lie invariants to form a complete set of non-Noether conserved quantity. Finally, an example is discussed to illustrate these results. |
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Keywords: | mechano-electrical system non-Noether symmetry non-Noether conserved quantity infinitesimal transformation |
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