Department of Physics and Electronics Science, University of Weifang, Weifang 261061, China; Department of Applied Physics, University of Petroleum, Dongying 257061, China
Abstract:
By introducing the quasi-symmetry of the infinitesimal transformation of the transformation group Gr, the Noether's theorem and the Noether's inverse theorem for generalized linear nonholonomic mechanical systems are obtained in a generalized compound derivative space. An example is given to illustrate the application of the result.