In The Event Space Of Variable Mass Nonholonomic System Lie Symmetry And Mei Symmetry And Conserved Quantity

Dynamics study of the symmetry and conserved quantity inmodern mathematics, mechanics, physics plays an importantrole, but also an analysis of the mechanics of a developmentdirection.This paper focuses on the following contents:First of all, to Lie symmetry and Mei symmetries andconserved quantities of the theory as the basis, combined withthe event space, of variable quality and nonholonomic systemsin event space theory, the variable mass nonholonomic system’sequation of motion.Secondly, from the event space for variable massnonholonomic systems of equations of motion of the expressions,the event space of variable mass nonholonomic system under Liesymmetry definition and criterion and the conservation of theexpression, and then study the event space of variable massnonholonomic system under Lie symmetry and conservedquantity inverse problem, from set out in search of symmetryconserved quantity, finally according to the theory research withexamples to confirm for nonholonomic systems in event space under the Lie symmetries and conserved quantities are twoaspects theory, inverse.Furthermore, from the event space for variable massnonholonomic systems of equations of motion of the expressions,the event space of variable mass nonholonomic system underMei symmetry definition and criterion and the conservation ofthe expression, and then study the event space of variable massnonholonomic system under Mei symmetry and conservedquantity the inverse problem of inverse problems, from set out insearch of symmetry conserved quantity, finally according to thetheory research with examples to confirm for nonholonomicsystems in event space under the Mei symmetries and conservedquantities are two aspects theory, inverse.