Poisson Theory of Generalized Birkhoff Systems

广义Birkhoff系统的Poisson理论(英文)

To study the Poisson theory of the generalized Birkhoff systems, the Lie algebra and the Poisson brackets were used to establish the Poisson theorem. The generalized Poisson condition for the first integral and the generalized Poisson theorem of the generalized Birkhoff systems are obtained. An example is given to illustrate the application of the result.

利用Lie代数和Poisson括号建立广义Birkhoff系统的Poisson定理 ,得到广义Birkhoff系统关于第一积分的广义Poisson条件 ,提出了广义Poisson定理 。