School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
Abstract:
To study Lie symmetry and the conserved quantity of a generalized Birkhoff system with additional terms,the determining equations of the Lie symmetry of the system is derived.A conserved quantity of Hojman's type and a Noether's conserved quantity are deduced by the Lie symmetry under some conditions.One example is given to illustrate the application of the result.