Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system

Abstract

Mei symmetry and Mei conserved quantity of Nielsen equation with multipliers for a nonholonomic， non-conservative system of Chetaev's type are studied- The differential equations of motion of Nielsen equation with multipliers for the system，the definition and criterion of Mei symmetry，and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system are obtained- An example is given to illustrate the application of the results-

Structural Equation and Mei Conserved Quantity of Mei Symmetry for Appell Equations with Redundant Coordinates

“…(39) satisfy Eqs. ( 18) and (19). Hence, the corresponding symmetry is the Mei symmetry for the holonomic system equations ( 1) and ( 4) with redundant coordinates.…”

Mei conserved quantity of the Nielsen equation for a non-Chetaev-type non-holonomic system

“…[30], and the Mei symmetry and the Mei conserved quantity of Nielsen equation for a nonholonomic system in Ref. [31] have been studied.…”