摘要
In this paper,the form invariance and the Lie symmetry of Lagrange's equations for nonconservativesystem in generalized classical mechanics under the infinitesimal transformations of group are studied,and the Noether'sconserved quantity,the new form conserved quantity,and the Hojman's conserved quantity of system are derived fromthem.Finally,an example is given to illustrate the application of the result.
In this paper,the form invariance and the Lie symmetry of Lagrange's equations for nonconservative system in generalized classical mechanics under the infinitesimal transformations of group are studied,and the Noether's conserved quantity,the new form conserved quantity,and the Hojman's conserved quantity of system are derived from them.Finally,an example is given to illustrate the application of the result.
基金
National Natural Science Foundation of China under Grant No.10272034
the Doctoral Program Foundation of China
