Form invariance of Hamilton's canonical equations of a nonholonomic mechanical s ystem

Abstract

In this paper,a form invariance of Hamilton's canonical equations of a nonholonomic mechanical system is studied.First,the definition and criterion of the form invariance in the system under infinitesimal transformations of groups are given .Next,the relation between the form invariance and the conserved quantity of the system is established.Finally,an example is given to illustrate the application of the result.