College of Physics Science and Technology, University of Petroleum (East China), Dongying 257061, China
Abstract:
In this paper the Lie-form invariance of the non-holonomic systems with
unilateral constraints is studied. The definition and the criterion of the
Lie-form invariance of the system are given. The generalized Hojman
conserved quantity and a new type of conserved quantity deduced from the
Lie-form invariance are obtained. Finally, an example is presented to
illustrate the application of the results.