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完整系统Appell方程Lie对称性的共形不变性与Hojman守恒量 被引量:1
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作者 孙现亭 张耀宇 +1 位作者 张芳 贾利群 《物理学报》 SCIE EI CAS CSCD 北大核心 2014年第14期21-24,共4页
研究完整系统Appell方程Lie对称性的共形不变性与Hojman守恒量.在时间不变的特殊无限小变换下,定义完整系统动力学方程的Lie对称性和共形不变性,给出该系统Lie对称性共形不变性的确定方程及系统的Hojman守恒量,并举例说明结果的应用.
关键词 APPELL方程 LIE对称性 共形不变性 HOJMAN守恒
Lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints 被引量:1
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作者 王肖肖 韩月林 +1 位作者 张美 贾利群 《中国物理B:英文版》 SCIE EI CAS CSCD 2013年第2期45-49,共5页
Lie symmetry and conserved quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied.The differential equations of motion of... Lie symmetry and conserved quantity deduced from Lie symmetry of Appell equations in a dynamical system of relative motion with Chetaev-type nonholonomic constraints are studied.The differential equations of motion of the Appell equation for the system,the definition and criterion of Lie symmetry,the condition and the expression of generalized Hojman conserved quantity deduced from Lie symmetry for the system are obtained.The condition and the expression of Hojman conserved quantity deduced from special Lie symmetry for the system under invariable time are further obtained.An example is given to illustrate the application of the results. 展开更多
关键词 HOJMAN守恒 非Chetaev型 APPELL方程 LIE对称性 动力学系统 非完整约束 相对运动 发电
Conformal invariance, Noether symmetry, Lie symmetry and conserved quantities of Hamilton systems
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作者 陈蓉 许学军 《中国物理B:英文版》 SCIE EI CAS CSCD 2012年第9期373-377,共5页
In this paper, the relation of the conformal invariance, the Noether symmetry, and the Lie symmetry for the Hamilton system is discussed in detail. The definition of the conformal invariance for Hamilton systems is g... In this paper, the relation of the conformal invariance, the Noether symmetry, and the Lie symmetry for the Hamilton system is discussed in detail. The definition of the conformal invariance for Hamilton systems is given. The relation between the conformal invariance and the Noether symmetry is discussed, the conformal factors of the determining expressions are found by using the Noether symmetry, and the Noether conserved quantity resulted from the conformal invariance is obtained. The relation between the conformal invariance and the Lie symmetry is discussed, the conformal factors are found by using the Lie symmetry, and the Hojman conserved quantity resulted from the conformal invariance of the system is obtained. Two examples are given to illustrate the application of the results. 展开更多
关键词 NOETHER对称性 NOETHER守恒 哈密尔顿系统 Lie对称性 共形不变性 HOJMAN守恒 应用程序 表达式
H·non-Heiles系统的Noether对称性与Hojman守恒量 预览
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作者 顾书龙 《安徽师范大学学报:自然科学版》 CAS 北大核心 2012年第4期332-334,共3页
研究了Hénon-Heiles系统的动力学方程在群的无限小变换下的Noether对称性、Lie对称性与Hojman守恒量.给出系统的运动微分方程和Noether对称性、Lie对称性确定方程,并由其对称性导致Hojman守恒量.
关键词 H·non-Heiles系统 NOETHER对称性 LIE对称性 HOJMAN守恒
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完整系统广义Tzénoff方程的Lie对称性及其Hojman守恒量 预览
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作者 陈梅 郑世旺 《科技信息》 2012年第26期39-40,共2页
本文研究了完整系统广义Tzénoff方程的Lie对称性及其所导出的Hojman守恒量,给出了这种新守恒量的函数表达式和导出这种守恒量的判据方程。该研究结果具有一般性,为进一步探究非完整系统广义Tzénoff方程的守恒规律奠定了理论... 本文研究了完整系统广义Tzénoff方程的Lie对称性及其所导出的Hojman守恒量,给出了这种新守恒量的函数表达式和导出这种守恒量的判据方程。该研究结果具有一般性,为进一步探究非完整系统广义Tzénoff方程的守恒规律奠定了理论基础。 展开更多
关键词 完整系统 广义Tzénoff方程 LIE对称 HOJMAN守恒
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Conformal invariance and a kind of Hojman conserved quantity of the Nambu system 被引量:2
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作者 李燕 方建会 张克军 《中国物理B:英文版》 SCIE EI CAS CSCD 2011年第3期9-13,共5页
Conformal invariance and a kind of Hojman conserved quantity of the Nambu system under infinitesimal transfor-mations are studied.The definition and the determining equation of conformal invariance of the system are p... Conformal invariance and a kind of Hojman conserved quantity of the Nambu system under infinitesimal transfor-mations are studied.The definition and the determining equation of conformal invariance of the system are presented.The necessary and sufficient condition under which the conformal invariance of the system would have Lie symmetry un-der infinitesimal transformations is derived.Then,the condition of existence and a kind of Hojman conserved quantity are obtained.Finally,an example is given to illustrate the application of the results. 展开更多
关键词 HOJMAN守恒 共形不变性 系统 无限小变换 Lie对称性 确定方程 充分条件
Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion 被引量:1
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作者 张美玲 孙现亭 +2 位作者 王肖肖 解银丽 贾利群 《中国物理:英文版》 SCIE EI CAS CSCD 2011年第11期 19-22,共4页
<正>Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion are studied.The determining equation of Lie symmetry of Nielsen equatio... <正>Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion are studied.The determining equation of Lie symmetry of Nielsen equations for a variable mass holonomic system of relative motion under the infinitesimal transformations of groups is given.The expression of generalized Hojman conserved quantity deduced directly from Lie symmetry for a variable mass holonomic system of relative motion is obtained.An example is given to illustrate the application of the results. 展开更多
关键词 HOJMAN守恒 变质完整系统 相对运动方程 LIE对称性 尼尔森 广义 无限小变换 确定方程
Lie symmetry and Hojman conserved quantity of a Nielsen equation in a dynamical system of relative motion with Chetaev-type nonholonomic constraint 被引量:1
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作者 王肖肖 孙现亭 +2 位作者 张美玲 解银丽 贾利群 《中国物理:英文版》 SCIE EI CAS CSCD 2011年第12期 259-263,共5页
The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied.The differential equations of motion of the Nie... The Lie symmetry and Hojman conserved quantity of Nielsen equations in a dynamical system of relative motion with nonholonomic constraint of the Chetaev type are studied.The differential equations of motion of the Nielsen equation for the system,the definition and the criterion of Lie symmetry,and the expression of the Hojman conserved quantity deduced directly from the Lie symmetry for the system are obtained.An example is given to illustrate the application of the results. 展开更多
关键词 NIELSEN方程 HOJMAN守恒 非Chetaev型 LIE对称性 动力学系统 非完整约束 相对运动 动力系统
相对运动动力学系统Nielsen方程的Lie对称性与Hojman守恒量 被引量:2
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作者 解银丽 贾利群 杨新芳 《物理学报》 SCIE EI CAS CSCD 北大核心 2011年第3期1-5,共5页
研究相对运动动力学系统Nielsen方程的Lie对称性和Lie对称性直接导致的Hojman守恒量.在群的无限小变换下,给出相对运动动力学系统Nielsen方程Lie对称性的定义和判据;得到相对运动动力学系统Nielsen方程Lie对称性的确定方程以及Lie对称... 研究相对运动动力学系统Nielsen方程的Lie对称性和Lie对称性直接导致的Hojman守恒量.在群的无限小变换下,给出相对运动动力学系统Nielsen方程Lie对称性的定义和判据;得到相对运动动力学系统Nielsen方程Lie对称性的确定方程以及Lie对称性直接导致的Hojman守恒量的表达式.举例说明结果的应用. 展开更多
关键词 相对运动动力学 NIELSEN方程 LIE对称性 HOJMAN守恒
Special Lie symmetry and Hojman conserved quantity of Appell equations in a dynamical system of relative motion 被引量:1
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作者 解银丽 贾利群 罗绍凯 《中国物理B:英文版》 SCIE EI CAS CSCD 2011年第1期57-60,共4页
Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated.The definition and the criterion of the special Lie symmetry of Appell equations in... Special Lie symmetry and the Hojman conserved quantity for Appell equations in a dynamical system of relative motion are investigated.The definition and the criterion of the special Lie symmetry of Appell equations in a dynamical system of relative motion under infinitesimal group transformation are presented.The expression of the equation for the special Lie symmetry of Appell equations and the Hojman conserved quantity,deduced directly from the special Lie symmetry in a dynamical system of relative motion,are obtained.An example is given to illustrate the application of the results. 展开更多
关键词 HOJMAN守恒 APPELL方程 LIE对称性 相对运动 动力系统 无限小群变换 动力学系统
Lie-Mei symmetry and conserved quantities of the Rosenberg problem
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作者 刘晓巍 李元成 《中国物理B:英文版》 SCIE EI CAS CSCD 2011年第7期32-34,共3页
The Rosenberg problem is a typical but not too complicated problem of nonholonomic mechanical systems.The Lie-Mei symmetry and the conserved quantities of the Rosenberg problem are studied.For the Rosenberg problem,th... The Rosenberg problem is a typical but not too complicated problem of nonholonomic mechanical systems.The Lie-Mei symmetry and the conserved quantities of the Rosenberg problem are studied.For the Rosenberg problem,the Lie and the Mei symmetries for the equation are obtained,the conserved quantities are deduced from them and then the definition and the criterion for the Lie-Mei symmetry of the Rosenberg problem are derived.Finally,the Hojman conserved quantity and the Mei conserved quantity are deduced from the Lie-Mei symmetry. 展开更多
关键词 HOJMAN守恒 MEI对称性 非完整机械系统 谎言 方程
Kepler方程的Noether对称性与Hojman守恒量 被引量:3
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作者 顾书龙 张宏彬 《物理学报》 SCIE EI CAS CSCD 北大核心 2010年第2期716-718,共3页
研究Kepler方程的Noether对称性与Hojman守恒量.给出系统的运动微分方程并给出Noether对称性的确定方程,提出Kepler方程的Noether对称性导致的Hojman守恒量.
关键词 Kepler方程 NOETHER对称性 HOJMAN守恒
广义线性非完整力学系统的Hojman守恒量
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作者 董文山 方建会 黄宝歆 《物理学报》 SCIE EI CAS CSCD 北大核心 2010年第2期724-728,共5页
研究广义线性非完整力学系统的Lie对称性导致的Hojman守恒量,在时间不变的特殊 Lie对称变换下,给出系统的Lie对称性确定方程、约束限制方程和附加限制方程,得到相应完整系统的Hojman守恒量以及广义线性非完整力学系统的弱Hojman守恒... 研究广义线性非完整力学系统的Lie对称性导致的Hojman守恒量,在时间不变的特殊 Lie对称变换下,给出系统的Lie对称性确定方程、约束限制方程和附加限制方程,得到相应完整系统的Hojman守恒量以及广义线性非完整力学系统的弱Hojman守恒量和强Hojman守恒量,并举一算例说明结果的应用. 展开更多
关键词 广义线性非完整力学系统 LIE对称性 HOJMAN守恒
Conformal invariance and Hojman conserved quantities for holonomic systems with quasi-coordinates 被引量:1
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作者 罗一平 傅景礼 《中国物理B:英文版》 SCIE EI CAS CSCD 2010年第9期94-99,共6页
We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation v... We propose a new concept of the conformal invariance and the conserved quantities for holonomic systems with quasi-coordinates. A one-parameter infinitesimal transformation group and its infinitesimal transformation vector of generators for holonomic systems with quasi-coordinates are described in detail. The conformal factor in the determining equations of the Lie symmetry is found. The necessary and sufficient conditions of conformal invariance, which are simultaneously of Lie symmetry, are given. The conformal invariance may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Finally, an illustration example is introduced to demonstrate the application of the result. 展开更多
关键词 HOJMAN守恒 共形不变性 完整系统 准坐标 LIE对称性 无限小变换 充分必要条件 确定方程
Conformal invariance and conserved quantities of Appell systems under second-class Mei symmetry 被引量:2
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作者 罗一平 傅景礼 《中国物理B:英文版》 SCIE EI CAS CSCD 2010年第9期100-105,共6页
In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinite... In this paper we introduce the new concept of the conformal invariance and the conserved quantities for Appell systems under second-class Mei symmetry. The one-parameter infinitesimal transformation group and infinitesimal transformation vector of generator are described in detail. The conformal factor in the determining equations under second-class Mei symmetry is found. The relationship between Appell system's conformal invariance and Mei symmetry are discussed. And Appell system's conformal invariance under second-class Mei symmetry may lead to corresponding Hojman conserved quantities when the conformal invariance satisfies some conditions. Lastly, an example is provided to illustrate the application of the result. 展开更多
关键词 HOJMAN守恒 MEI对称性 共形不变性 L系统 二级 转化载体 确定方程 发电机
Special Lie-Mei Symmetry and Conserved Quantities of Appell Equations Expressed by Appell Function
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作者 解银丽 贾利群 《中国物理快报:英文版》 SCIE CAS CSCD 2010年第12期1-3,共3页
特殊谎言 -- 为 Appell 表示的 Appell 方程的 Mei 对称和保存数量在 holonomic 工作机械系统被调查。根据在一个 holonomic 系统的 Appell 方程,定义和专辑的标准躺着 -- Appell 函数表示的 Appell 方程的 Mei 对称被给。专辑的决定... 特殊谎言 -- 为 Appell 表示的 Appell 方程的 Mei 对称和保存数量在 holonomic 工作机械系统被调查。根据在一个 holonomic 系统的 Appell 方程,定义和专辑的标准躺着 -- Appell 函数表示的 Appell 方程的 Mei 对称被给。专辑的决定方程的表达式躺着 -- Appell 表示的 Appell 方程的 Mei 对称工作, Hojman 保存了数量, Mei 保存了从特殊谎言推出的数量 -- 在 holonomic 的 Mei 对称机械系统被获得。一个例子被给说明结果的申请。[从作者抽象] 展开更多
关键词 HOJMAN守恒 APPELL方程 MEI对称性 L函数 完整力学系统 完整系统 对称函数 确定方程
Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems
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作者 李元成 夏丽莉 王小明 《中国物理B:英文版》 SCIE EI CAS CSCD 2009年第11期4643-4649,共7页
This paper studies conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems.The definition and the determining equation of conformal invariance for mechanico-electrical systems ... This paper studies conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems.The definition and the determining equation of conformal invariance for mechanico-electrical systems are provided.The conformal factor expression is deduced from conformal invariance and Lie symmetry under the infinitesimal singleparameter transformation group.The generalized Hojman conserved quantities from the conformal invariance of the system are given.An example is given to illustrate the application of the result. 展开更多
关键词 HOJMAN守恒 共形不变性 电气系统 广义 LIE对称性 电动力系统 电力系统 确定方程
Special Lie Symmetry and Hojman Conserved Quantity of Appell Equations for a Holonomic System 被引量:6
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作者 贾利群 崔金超 +1 位作者 罗绍凯 杨新芳 《中国物理快报:英文版》 SCIE CAS CSCD 2009年第3期21-23,共3页
关键词 HOJMAN守恒 APPELL方程 LIE对称性 完整系统 无限小变换 机械系统 微分方程 确定方程
Conformal invariance and Hojman conserved quantities of canonical Hamilton systems
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作者 刘畅 刘世兴 +1 位作者 梅凤翔 郭永新 《中国物理B:英文版》 SCIE EI CAS CSCD 2009年第3期856-860,共5页
This paper discusses the conformal invariance by infinitesimal transformations of canonical Hamilton systems.The necessary and sufficient conditions of conformal invariance being Lie symmetrical simultaneously by the ... This paper discusses the conformal invariance by infinitesimal transformations of canonical Hamilton systems.The necessary and sufficient conditions of conformal invariance being Lie symmetrical simultaneously by the action of infinitesimal transformations are given.The determining equations of the conformal invariance are gained.Then the Hojman conserved quantities of conformal invariance by special infinitesimal transformations are obtained.Finally an illustrative example is given to verify the results. 展开更多
关键词 HOJMAN守恒 共形不变性 哈密尔顿系统 无限小变换 汉密尔顿系统 充分必要条件 LIE对称 确定方程
Conformal invariance and Noether symmetry, Lie symmetry of holonomic mechanical systemsin event space 被引量:1
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作者 张毅 《中国物理B:英文版》 SCIE EI CAS CSCD 2009年第11期4636-4642,共7页
This paper is devoted to studying the conformal invariance and Noether symmetry and Lie symmetry of a holonomic mechanical system in event space.The definition of the conformal invariance and the corresponding conform... This paper is devoted to studying the conformal invariance and Noether symmetry and Lie symmetry of a holonomic mechanical system in event space.The definition of the conformal invariance and the corresponding conformal factors of the holonomic system in event space are given.By investigating the relation between the conformal invariance and the Noether symmetry and the Lie symmetry,expressions of conformal factors of the system under these circumstances are obtained,and the Noether conserved quantity and the Hojman conserved quantity directly derived from the conformal invariance are given.Two examples are given to illustrate the application of the results. 展开更多
关键词 NOETHER对称性 约束机械系统 共形不变性 事件空间 对称空间 HOJMAN守恒 Lie对称性 完整系统
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