Mei symmetry and Mei conserved quantity of Nielsen equations for nonholonomic systems of unilateral non-Chetaev’s type in the event space

Abstract

Mei symmetry and Mei conserved quantity of Nielsen equations for a nonholonomic system of unilateral non-Chetaev's type in the event space are studied. The differential equations of motion for the system are established. The definition and the criteria of Mei symmetry, loose Mei symmetry and strict Mei symmetry for the system are respectively given. The existence condition and the expression of Mei conserved quantity deduced directly from Mei symmetry are obtained. An example is given to illustrate the application of the results.

Higher-order differential variational principle and differential equations of motion for mechanical systems in event space

“…Zhang [22][23][24][25][26] studied the perturbations of Lie symmetries and adiabatic invariance for holonomic systems, the various symmetries and the conserved quantities for holonomic systems and Birkhoffian systems in event space. Jia et al [27][28][29][30][31] and Hou et al [32][33][34] studied the various symmetries and the conserved quantities of nonholonomic systems of non-Chetaev's type with different conditions in event space. Zhang et al [35] studied the symmetry of Lagrangians and the conserved quantity for the holonomic non-conservative system in event space.…”