检索结果-南通市图书馆

form invariance and new conserved quantity of generalised Birkhoffian system

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2010年第5期19卷 31-34页

作者：梅凤翔吴惠彬 Faculty of Science Beijing Institute of Technology

A form invariance and a conserved quantity of the generalised Birkhoffian system are studied. First, a definition and a criterion of the form invariance are given. Secondly, through the form invariance, a new conserve... 详细信息

关键词： generalised Birkhoffian system form invariance conserved quantity

form invariance AND LIE SYMMETRY OF VARIABLE MASS NONHOLONOMIC MECHANICAL SYSTEM

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2005年第2期26卷 204-209页

作者：方建会陈培胜张军 Department of Applied Physics University of Petroleum Dongying Shandong 257061 P.R.China

The form invariance and Lie symmetry of a variable mass nonholonomic mechanical system is studied. The definition and the criterion and the conserved quantity of form invariance and Lie symmetry for the variable mass nonholonomic mechanical system are given. The relation between the form invariance and Lie symmetry is obtained. An example is given to illustrate the application of the result.

关键词： variable mass nonholonomic system form invariance Lie symmetry

form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2012年第7期21卷 32-36页

作者：贾利群张美玲王肖肖韩月林 School of Science Jiangnan University

A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structural equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results.

关键词： weakly nonholonomic system Appell equations form invariance approximate conservedquantity

form invariance AND LIE SYMMETRY OF THE GENERALIZED HAMILTONIAN SYSTEM

在线全文

学校读者我要写书评

暂无评论

Acta Mechanica Solida Sinica 2004年第4期17卷 370-373页

作者： WuHuibin MeiFengxiang FacultyofScience BeijingInstituteofTechnologyBeijing100081China

The form invariance and the Lie symmetry of the generalized Hamiltonian system are studied. Firstly, de?nitions and criteria of the form invariance and the Lie symmetry of the system are given. Next, the relation between the form invariance and the Lie symmetry is studied. Finally, two examples are given to illustrate the application of the results.

关键词： generalized Hamiltonian system form invariance Lie symmetry infnitesimal transformation

form invariance AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 2003年第4期24卷 468-478页

作者：罗绍凯 InstituteofMathematicalMechanicsandMathematicalPhysics ChangshaUniversity DepartmentofAppliedPhysicsHunanUniversityChangsha410082P.R.ChinaScienceCollegeSouthernYangtzeUniversityWuxiJiangsu214063P.R.China

A form invariance of the relativistic Birkhoffian system is studied, and the conserved quantities of the system are obtained. Under the infinitesimal transformation of groups, the definition and criteria of the form invariance of the system were given. In view of the invariance of relativistic Pfaff_Birkhoff_ D'Alembert principle under the infinitesimal transformation of groups, the theory of Noether symmetries of the relativistic Birkhoffian system were constructed. The relation between the form invariance and the Noether symmetry is studied, and the results show that the form invariance can also lead to the Noether symmetrical conserved quantity of the relativistic Birkhoffian system under certain conditions.

关键词： relativity Birkhoffian system Pfaff_Birkhoff_ D'Alembert principle form invariance Noether symmetry conserved quantity

form invariance, Noether and Lie Symmetry of Non-conservative Hamiltonian Systems in Phase Space

在线全文

学校读者我要写书评

暂无评论

Journal of Shanghai University(English Edition) 2004年第3期8卷 252-257页

作者：傅景礼陈立群谢凤萍 School of Natural Science Zhejiang University of Science Zhejiang 310018 P.R. China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 P.R. China Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 P.R. China School of Natural Science Zhejiang University of Science Zhejiang 310018 P.R. China

For the non-conservative holonomic Hamiltonian systems in phase space, the definition and criteria of the form invariance of the generalized Hamilton canonical equations were given. The relations among the form invariance, Noether symmetry and Lie symmetry were studied. The theory of the form invariance for the conservative holonomical systems was worked out. An example was given to illustrate the results.

关键词： form invariance Noether symmetry Lie symmetry Hamiltonian system phase space.

On form invariance,Lie Symmetry and Three Kinds of Conserved Quantities of Generalized Lagrange's Equations

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2007年第7期48卷 37-42页

作者： ZHAO Shu-Hong LIANG Li-Fuoi School of Civil Engineering,Harbin Engineering University,Harbin 150001,China2 Engineering College,Northeast Agricultural University,Harbin 150030,China School of Civil Engineering Harbin Engineering University Harbin 150001 China Engineering College Northeast Agricultural University Harbin 150030 China

In this paper,the form invariance and the Lie symmetry of Lagrange's equations for nonconservativesystem in generalized classical mechanics under the infinitesimal transformations of group are studied,and the Noether'sconserved quantity,the new form conserved quantity,and the Hojman's conserved quantity of system are derived fromthem.Finally,an example is given to illustrate the application of the result.

关键词： form invariance Lie symmetry conserved quantity generalized classical mechanics Lagrange’s equation

form invariance and Lie symmetry of equations of non—holonomic systems

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2002年第1期11卷 5-8页

作者：王树勇梅凤翔 DepartmentofAppliedMechanics BeijingInstituteofTechnologyBeijing100081China

In this paper, we study the relation between the form invariance and Lie symmetry of non-holonomic systems.Firstly, we give the definitions and criteria of the form invariance and Lie symmetry in the systems. Next, their relationis deduced. We show that the structure equation and conserved quantity of the form invariance and Lie symmetry ofnon-holonomic systems have the same form. Finally, we give an example to illustrate the application of the result.

关键词： analytical mechanics non-holonomic mechanics form invariance Lie symmetry

form invariance for systems of generalized classical mechanics

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Chinese Physics B 2003年第10期12卷 1058-1061页

作者：张毅梅凤翔 DepartmentofCivilEngineering UniversityofScienceandTechnologyofSuzhouSuzhou215011China DepartmentofAppliedMechanics BeijingInstituteofTechnologyBelling100081China

This paper presents a form invariance of canonical equations for systems of generalized classical mechanics. According to the invariance of the form of differential equations of motion under the infinitesimal transformations, this paper gives the definition and criterion of the form invariance for generalized classical mechanical systems, and establishes relations between form invariance, Noether symmetry and Lie symmetry. At the end of the paper, an example is given to illustrate the application of the results.

关键词： system of generalized classical mechanics canonical equation form invariance Lie sym metry Noether symmetry