共查询到16条相似文献,搜索用时 140 毫秒
1.
ZHANG Xiao-Ni FANG Jian-Hui PANG Ting LIN Peng 《理论物理通讯》2009,51(2):205-208
For a nonholonomic mechanical system, the generalized Mei conserved quantity and the new generalized Hojman conserved quantity deduced from Noether symmetry of the system are studied. The criterion equation of the Noether symmetry for the system is got. The conditions under which the Noether symmetry can lead to the two new conserved quantities are presented and the forms of the conserved quantities are obtained. Finally, an example is given to illustrate the application of the results. 相似文献
2.
ZHANG Xiao-Ni FANG Jian-Hui WANG Peng DING Ning 《理论物理通讯》2008,49(2):305-307
In this paper, the Noether Lie symmetry and conserved quantities of generalized classical mechanical system are studied. The definition and the criterion of the Noether Lie symmetry for the system under the general infinitesimal transformations of groups are given. The Noether conserved quantity and the Hojman conserved quantity deduced from the Noether Lie symmetry are obtained. An example is given to illustrate the application of the results. 相似文献
3.
In this paper, we have studied the unified symmetry of a nonholonomic
mechanical system in phase space. The definition and the criterion
of a unified symmetry of the nonholonomic mechanical system in
phase space are given under general infinitesimal transformations
of groups in which time is variable. The Noether conserved
quantity, the generalized Hojman conserved quantity and the Mei
conserved quantity are obtained from the unified symmetry. An
example is given to illustrate the application of the results. 相似文献
4.
Noether symmetry and Lie symmetry of discrete holonomic systems with dependent coordinates
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The Noether symmetry, the Lie symmetry and the conserved quantity of discrete holonomic systems with dependent coordinates are investigated in this paper. The Noether symmetry provides a discrete Noether identity and a conserved quantity of the system. The invariance of discrete motion equations under infinitesimal transformation groups is defined as the Lie symmetry, and the condition of obtaining the Noether conserved quantity from the Lie symmetry is also presented. An example is discussed to show the applications of the results. 相似文献
5.
JING Hong-Xing LI Yuan-Cheng 《理论物理通讯》2008,49(6):1417-1420
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. 相似文献
6.
The Noether symmetry,the Mei symmetry and the conserved quantities of discrete generalized Birkhoffian system are studied in this paper.Using the difference discrete variational approach,the difference discrete variational principle of discrete generalized Birkhoffian system is derived.The discrete equations of motion of the system are established.The criterion of Noether symmetry and Mei symmetry of the system is given.The discrete Noether and Mei conserved quantities and the conditions for their existence are obtained.Finally,an example is given to show the applications of the results. 相似文献
7.
This paper studies a new conserved quantity which can be called
generalized Mei conserved quantity and directly deduced by Mei
symmetry of Birkhoff system. The conditions under which the Mei
symmetry can directly lead to generalized Mei conserved quantity and
the form of generalized Mei conserved quantity are given. An example
is given to illustrate the application of the results. 相似文献
8.
HOU Qi-Bao LI Yuan-Cheng XiA Li-Li WANG Jing 《理论物理通讯》2007,48(4):619-622
The unified symmetry of a nonholonomic system of non-Chetaev's type with variable mass in event space is studied. The differential equations of motion of the system are given. Then the definition and the criterion of the unified symmetry for the system are obtained. Finally, the Noether conserved quantity, the Hojman conserved quantity, and a new type of conserved quantity are deduced from the unified symmetry of the nonholonomic system of non-Chetaev's type with variable mass in event space at one time. An example is given to illustrate the application of the results. 相似文献
9.
Symmetry of Hamiltonian and conserved quantity for a system of generalized classical mechanics
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This paper focuses on a new symmetry of Hamiltonian and its conserved quantity for a system of generalized classical mechanics.The differential equations of motion of the system are established.The definition and the criterion of the symmetry of Hamiltonian of the system are given.A conserved quantity directly derived from the symmetry of Hamiltonian of the generalized classical mechanical system is given.Since a Hamilton system is a special case of the generalized classical mechanics,the results above are equally applicable to the Hamilton system.The results of the paper are the generalization of a theorem known for the existing nonsingular equivalent Lagrangian.Finally,two examples are given to illustrate the application of the results. 相似文献
10.
Based on the total time
derivative along the trajectory of the system
the definition and the criterion for a unified symmetry of nonholonomic
mechanical system with variable mass are presented in this paper. A new
conserved quantity, as
well as the Noether conserved quantity and the Hojman conserved quantity,
deduced from the unified symmetry, are also obtained. An example is given to
illustrate the application of the results. 相似文献
11.
In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, and Mei conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results. 相似文献
12.
In this paper, the definition and the criterion of a unified symmetry of the mechanical system with variable mass in phase space are given. The Noether conserved quantity, the generalized Hojman conserved quantity, and Mei conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results. 相似文献
13.
FANG Jian-Hui DING Ning WANG Peng 《理论物理通讯》2006,46(1):97-100
In this paper, a new symmetry and its conserved quantities of a mechanical system in phase space are studied. The defition of this new symmetry, i.e., a unified one is presented, and the criterion of this symmetry is also given. The Noether, the generalized Hojman and the Mei conserved quantities of the unified symmetry of the system are obtained. The unified symmetry contains the Noether, the Lie and the Mei symmetries, and has more generalized significance. 相似文献
14.
FANG Jian-Hui 《理论物理通讯》2006,46(7)
In this paper, a new symmetry and its conserved quantities of a mechanical system in phase space are studied. The definition of this new symmetry, i.e., a unified one is presented, and the criterion of this symmetry is also given. The Noether, the generalized Hojman and the Mei conserved quantities of the unified symmetry of the system are obtained. The unified symmetry contains the Noether, the Lie and the Mei symmetries, and has more generalized significance. 相似文献
15.
XU Xue-Jun QIN Mao-Chang MEI Feng-Xiang 《理论物理通讯》2005,44(11)
The definition and the criterion of a unified symmetry for a Hamilton system are presented. The sufficient condition under which the Noether symmetry is a unified symmetry for the system is given. A new conserved quantity,as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, is obtained. An example is finally given to illustrate the application of the results. 相似文献
16.
Unified Symmetry of Hamilton Systems 总被引:1,自引:0,他引:1
XU Xue-Jun QIN Mao-Chang MEI Feng-Xiang 《理论物理通讯》2005,44(5):769-772
The definition and the criterion of a unified symmetry for a Hamilton system are presented. The sufficient condition under which the Noether symmetry is a unified symmetry for the system is given. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity deduced from the unified symmetry, is obtained. An example is finally given to illustrate the application of the results. 相似文献