Generalized Hamiltonian Systems on a Poisson Product Manifold
- 出版年：2005
- 作者：WANG Hong
- 单位1：College of Mathematics and LPMC，Nankai University
- 出生年：1962
- 学历：female
- 职称：professordoctor
- 语种：英文
- 作者关键词：poisson bracket；poisson product manifold；generalized Hamiltonian system；pois-son mapping
- 起始页：738
- 总页数：4
- 经费资助：Natural Science Foundation of Tianjin（05YFJMJC01200）
- 刊名：太原理工大学学报
- 是否内版：否
- 刊频：双月刊
- 创刊时间：1957
- 主办单位：太原理工大学
- 主编：谢克昌
- 地址：太原市迎泽西大街新矿院路18号
- 邮编：030024
- 电子信箱：xuebao@tyut.edu.cn
- 网址：Http://www.xuebao.tyut.edu.cn
- 卷：36
- 期：6
- 期刊索取号：P806.6 132
摘要
We firstly in toruduced a kind of special functions and a kind of special Poisson bracket on a product manifold，then give a kindof special generalized Hamiltonian vector fields by using the pecial oisson racket.Moreover，we give a method to composea new generalized Hamiltonian system on the Poissonproduct 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 systemsas well as the relation between the Poisson mapping on the Poisson product manif oldand that on the factor Poisson manifolds.