Conformal invariance of Mei symmetry for the non-holonomic systems of non-Chetaev's type

摘要

The conformal invariance and conserved quantities of Mei symmetry for the non-holonomic systems of non-Chetaev's type are studied. Firstly, the differential equations of motion of the holonomic systems corresponding to the non-holonomic systems are discussed. Secondly, based on the introduction of an infinitesimal transformation group and its infinitesimal transformation vector of generators, the definition of conformal invariance and determining equation of Mei symmetry of the systems are provided. Thirdly, using restriction equations and additional restriction equations, the conformal invariance of weak and strong Mei symmetry for the systems is given, and the system's corresponding conserved quantities are obtained, according to the structure equation satisfied by the gauge function. At the end of the paper, an example is given to illustrate the application of the result.