Noether–Mei symmetry of discrete mechanico-electrical system

Noether-Mei symmetry of discrete mechanico-electrical system on a regular lattice is investigated. Firstly, the Noether symmetry of discrete mechanico-electrical system is reviewed, and the motion equations and energy equations are derived. Secondly, the definition of Noether-Mei symmetry for the system is presented, and the criterion is derived. Thirdly, conserved quantities induced by Noether-Mei symmetry with their existence conditions are obtained. Finally, an example is discussed to illustrate the results.