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lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

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Chinese Physics B 2011年第11期20卷 19-22页

作者：张美玲孙现亭王肖肖解银丽贾利群 School of Science Jiangnan University School of Electric and Information Engineering Pingdingshan University

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.

关键词： variable mass, relative motion lie symmetry generalized Hojman conserved quantity

lie symmetry and Mei conservation law of continuum system

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Chinese Physics B 2011年第2期20卷 195-199页

作者：施沈阳傅景礼 Department of Physics Zhejiang Sci-Tech University

lie symmetry and Mei conservation law of continuum Lagrange system are studied in this *** equation of motion of continuum system is established by using variational principle of continuous *** invariance of the equation of motion under an infinitesimal transformation group is determined to be *** condition of obtaining Mei conservation theorem from lie symmetry is also *** example is discussed for applications of the results.

关键词： continuum mechanics lie symmetry Mei symmetry conservation law

lie symmetry and Conserved Quantity of Three-Order Lagrangian Equations for Non-conserved Mechanical System

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Communications in Theoretical Physics 2006年第2期45卷 350-352页

作者： MA Shan-Jun YANG Xue-Hui YAN Rong HUANG Pei-Tian College of Physics and Communication Electronics Jiangxi Normal University Nanchang 330027 China

Based on the infinitesimal and one parameter transformation, the problem of lie symmetry of three-order Lagrangian equations has been studied. Under lie transformation, the sufficient and necessary condition which kee... 详细信息

关键词： three-order Lagrangian equation lie symmetry conserved quantity

lie symmetry and Hojman conserved quantity of Nambu system

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Chinese Physics B 2008年第12期17卷 4361-4364页

作者：蔺鹏方建会庞婷 College of Physics and Technology China University of Petroleum

This paper studies the lie symmetry and Hojman conserved quantity of the Nambu system. The determining equations of lie symmetry for the system are given. The conditions for existence and the form of the Hojman conserved quantity led by the lie symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.

关键词： Nambu system lie symmetry Hojman conserved quantity

lie symmetry and its generation of conserved quantity of Appell equation in a dynamical system of the relative motion with Chetaev-type nonholonomic constraints

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Chinese Physics B 2013年第2期22卷 45-49页

作者：王肖肖韩月林张美贾利群 School of Science Jiangnan University

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 *** 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 *** condition and the expression of Hojman conserved quantity deduced from special lie symmetry for the system under invariable time are further *** example is given to illustrate the application of the results.

关键词： Chetaev-type nonholonomic constraints dynamics of relative motion Appell equation lie symmetry

lie symmetry and Conserved Quantities for Nonholonomic Vacco Dynamical Systems

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Communications in Theoretical Physics 2006年第2X期46卷 265-268页

作者： DING Ning FANG Jian-Hui College of Physics and Technology China University of Petroleum Dongying 257061 China

In this paper the lie symmetry and conserved quantities for nonholonomic Vacco dynamical systems are studied. The determining equation of the lie symmetry for the system is given. The general Hojman conserved quantity... 详细信息

关键词： Vacco dynamical system lie symmetry general Hojman conserved quantity Lutzky conserved quantity

lie symmetry and Conserved Quantities for Mechanical-Electrical Systems

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Communications in Theoretical Physics 2008年第6期49卷 1417-1420页

作者： JING Hong-Xing LI Yuan-Cheng College of Physics Science and Technology China University of Petroleum （East China） Dongying 257061 China

In this paper, we study lie symmetry and conserved quantities for a mechanical-electrical system. The criterion of the lie symmetry for this system is given. The generalized Hojman conserved quantity and generalized Lutzky conserved quantity deduced from the lie symmetry for the system are obtained. An example is presented to illustrate the results.

关键词： mechanical-electrical system lie symmetry generalized Hojman conserved quantity, generalized Lutzky conserved quantity

lie symmetry and Generalized Mei Conserved Quantity for Nonconservative Dynamical System

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Communications in Theoretical Physics 2008年第5期49卷 1148-1150页

作者： JING Hong-Xing LI Yuan-Cheng College of Physical Science and Technology China University of Petroleum （East China） Dongying 257061 China

Based on the total time derivative along the trajectory of the system, for noneonservative dynamical system, the generalized Mei conserved quantity indirectly deduced from the lie symmetry of the system is studied. Firstly, the lie symmetry of the system is given. Then, the necessary and sumeient condition under which the lie symmetry is a Mei symmetry is presented and the generalized Mei conserved quantity indirectly deduced from the lie symmetry of the system is obtained. Lastly, an example is given to illustrate the application of the result.

关键词： lie symmetry Mei symmetry generalized Mei conserved quantity nonconservative dynamicalsystem

ON THE NOETHER symmetry AND lie symmetry OF MECHANICAL SYSTEMS

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Acta Mechanica Sinica 2002年第4期18卷 414-419页

作者：梅凤翔郑改华 Department of Applied Mechanics Beijing Institute of TechnologyBeijing 100081China

The Noether symmetry is an invariance of Hamilton action under infinitesimal transformations of time and the *** lie symmetry is an invariance of the differential equations of motion under the *** this paper,the relation between these two symmetries is proved definitely and firstly for mechanical *** results indicate that all the Noether symmetries are lie symmetries for Lagrangian systems meanwhile a Noether symmetry is a lie symmetry for the general holonomic or nonholonomic systems provided that some conditions hold.

关键词： analytical mechanics Noether symmetry lie symmetry