约束广义Birkhoff系统的Lie对称性与Hojman型守恒量

Lie symmetry and Hojman conserved quantity for a generalized Birkhoff system with constraints

建立约束广义Birkhoff系统的微分方程,给出约束广义Birkhoff系统Lie对称性的确定方程,研究在时间不变的情况下由其Lie对称性导致的Hojman型守恒量,最后举例说明结果的应用.

The differential equations of the generalized Birkhoff system with constraints are established. The determining equations corresponding to the Lie symmetry are given. The Hojman conserved quantity is discussed which determined by Lie symmetry under time- invariant. In the end an example is given to illustrate the application of the results.