中国物理B ›› 2003, Vol. 12 ›› Issue (10): 1058-1061.doi: 10.1088/1009-1963/12/10/303
梅凤翔1, 张毅2
Zhang Yi (张毅)a, Mei Feng-Xiang (梅凤翔)b
摘要: This paper presents a form invariance of canonical equations for systems of generalized classical mechanics. According to the invariance of the form of differential equations of motion under the infinitesimal transformations, this paper gives the definition and criterion of the form invariance for generalized classical mechanical systems, and establishes relations between form invariance, Noether symmetry and Lie symmetry. At the end of the paper, an example is given to illustrate the application of the results.
中图分类号: (General theory of classical mechanics of discrete systems)