| 广义Hamilton系统的规范型及其计算 |
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| 引用本文： | 赵晓华,阮永全.广义Hamilton系统的规范型及其计算[J].浙江师范大学学报(自然科学版),2014(3):253-259. |
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| 作者姓名： | 赵晓华 阮永全 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华321004 |
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| 基金项目： | 国家自然科学基金资助项目（10872183;11172269） |
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| 摘 要： | 基于广义Hamilton系统的流定义的变换是保结构变换的性质,利用相应的Lie变换公式,获得了广义Hamilton系统的Hamilton函数的规范型及保结构变换的产生函数表达式.为阐明已获得这些理论结果的应用,具体研究了一类具有Lie-Poisson结构U(1,1)的三维广义Hamilton系统,明确计算了它的二阶规范型及其保结构变换的生成函数.
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| 关 键 词： | 广义Hamilton系统 Lie-Poisson结构 保结构变换 规范型 |
Normal forms and their computations of generalized Hamiltonian systems |
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| ZHAO Xiaohua,RUAN Yongquan.Normal forms and their computations of generalized Hamiltonian systems[J].Journal of Zhejiang Normal University Natural Sciences,2014(3):253-259. |
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| Authors: | ZHAO Xiaohua RUAN Yongquan |
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| Institution: | ( College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004., China ) |
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| Abstract: | Based on the fact that the transformation of variables defined by the flow of generalized Hamiltonian system（GHS） was structure-preserving, through the related formula of Lie transformation , normal forms for a GHS and the generating function of corresponding transformation were derived .In order to illustrate the appli-cation of the obtained results , a class of three-dimensional GHS with U（1,1） Lie-Poisson structure was inves-tigated, its two-order normal form and the generating function of corresponding transformation were calculated explicitly . |
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| Keywords: | generalized Hamiltonian systems Lie-Poisson structure structure-preserving transformation nor-mal form |
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