摘要
We firstly intoruduced a kind of special functions and a kind of special Poisson bracket on a product manifold,then give a kind of special generalized Hamiltonian vector fields by using the special Poisson bracket.Moreover,we give a method to compose a new generalized Hamiltonian system on the Poisson product manifold by using two known generalized Hamitonian systems on the factor Poisson manifolds.We also discuss the conservative properties of the new composed generalized Hamiltonian systems as well as the relation between the Poisson mapping on the Poisson product manifold and that on the factor Poisson manifolds.
We firstly intoruduced a kind of special functions and a kind of special Poisson bracket on a product manifold,then give a kind of special generalized Hamiltonian vector fields by using the special Poisson bracket. Moreover, we give a method to compose a new generalized Hamiltonian system on the Poisson product manifold by using two known generalized Hamitonian systems on the factor Poisson manifolds. We also discuss the conservative properties of the new composed generalized Hamiltonian systems as well as the relation between the Poisson mapping on the Poisson product manifold and that on the factor Poisson manifolds.
出处
《太原理工大学学报》
CAS
北大核心
2005年第6期738-741,共4页
Journal of Taiyuan University of Technology
基金
Natural Science Foundation of Tianjin
关键词
泊松流形
哈密尔顿系统
支架
泊松映射
向量场
poisson bracket
poisson product manifold
generalized Hamiltonian system
poisson mapping
