Noether theorem for nonholonomic systems of nonChetaev's type in phase space on time scales
ZU Qihang1， ZHU Jianqing1 ， SONG Chuanjing2
1.College of Mathematics and Physics， Suzhou University of Science and Technology， Suzhou， Jiangsu 215009；2.College of Science， Nanjing University of Science and Technology， Nanjing 210094
Abstract：The Noether theorem for nonholonomic systems of nonChetaev's type in phase space is studied. Firstly， based on the principle of Hamilton， the Hamilton equations for nonholonomic mechanical system of nonChetaev's type on the time scale are established. Secondly， based on the generalized quasi invariance of the Hamilton action on time scale， the Noether identity and the conserved quantity of nonholonomic mechanical system of nonChetaev's type in the phase space on time scale are obtained. Finally， an example is presented to illustrate the application of the results.
