泊松流形中的一般哈密尔顿系统  

Generalized Hamiltonian Systems on a Poisson Product Manifold

作　　者：王红 

机构地区：[1]College of Mathematics and LPMC,Nankai University,Tianjin 300071 ,China

出　　处：《太原理工大学学报》2005年第6期738-741,共4页Journal of Taiyuan University of Technology

基　　金：Natural Science Foundation of Tianjin

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.

关 键 词：泊松流形 哈密尔顿系统 支架 泊松映射 向量场 

分 类 号：O35[理学—流体力学]