非完整非保守系统在相空间的Noether定理及其逆定理

Noether's Theorem and its Inverse Theorem forNonholonomic Nonconservative Systems in Phase Space

本文根据动力学系统在相空间的作用积分在无穷小群变换下的变换性质，得到了非完整非保守系统在相空间的Ｎｏｅｔｈｅｒ定理和逆定理。并举例说明。

In this paper, the Noether's theorem and its inverse theorem for nonholonomic nonconservativesystem in phase spece are obtained by use of the transformation property of the active integral of dy-namical systems under infinitesimal group transformation in phase space. An example is given to illus-trate its application.