摘要
The purpose of this paper is to study the symmetry of first order Lagrangians and the cor- responding conserved quantity. The relation between the Lagrangians and the Birkhoff＇ s functions and the Birkhoff symmetry of Birkhoffian systems are used to obtain the symmetry of first order La- grangians and the corresponding conserved quantity. Two examples are given to illustrate the appli- cation of the result.
The purpose of this paper is to study the symmetry of first order Lagrangians and the cor- responding conserved quantity. The relation between the Lagrangians and the Birkhoff＇ s functions and the Birkhoff symmetry of Birkhoffian systems are used to obtain the symmetry of first order La- grangians and the corresponding conserved quantity. Two examples are given to illustrate the appli- cation of the result.
基金
Supported by the National Natural Science Foundation of China(10932002,10972031,11272050)
