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Velocity-dependent symmetries and non-Noether conserved quantities of electromechanical systems
Authors:FU JingLi  CHEN BenYong  FU Hao  ZHAO GangLing  LIU RongWan & ZHU ZhiYan Institute of Mathematical Physics  Zhejiang Sci-Tech University  Hangzhou  China  Faculty of Mechanical Engineering & Automation  China Jingye Engineering Corporation Limited Shenzhen Branch  Shenzhen  Shanghai University
Institution:FU JingLi1,CHEN BenYong2,FU Hao3,ZHAO GangLing4,LIU RongWan5 & ZHU ZhiYan1 1 Institute of Mathematical Physics,Zhejiang Sci-Tech University,Hangzhou 310018,China,2 Faculty of Mechanical Engineering & Automation,3 China Jingye Engineering Corporation Limited Shenzhen Branch,Shenzhen 518054,4 Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics,Shanghai 200072,5 Department of Physics,Shaoguan University,Shaoguan 512005,Chin...
Abstract:The theory of velocity-dependent symmetries(or Lie symmetry) and non-Noether conserved quantities are presented corresponding to both the continuous and discrete electromechanical systems.Firstly,based on the invariance of Lagrange-Maxwell equations under infinitesimal transformations with respect to generalized coordinates and generalized charge quantities,the definition and the determining equations of velocity-dependent symmetry are obtained for continuous electromechanical systems;the Lie's theorem and ...
Keywords:velocity-dependent symmetry  conserved quantity  discrete  electromechanical system  
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