共查询到18条相似文献,搜索用时 109 毫秒
1.
研究广义Hamilton系统Lie对称性导致的新型守恒量.首先,建立系统的微分方程.其次,研究一类特殊无限小变换下系统的Lie对称性.第三,将Hojman定理推广到广义Hamilton系统.最后,举例说明结果的应用.
关键词:
广义Hamilton系统
Lie对称性
守恒量 相似文献
2.
研究广义Hamilton系统的Mei对称性导致的守恒量. 首先,在群的一般无限小变换下给出广义Hamilton系统的Mei对称性的定义、判据和确定方程;其次,研究系统的Mei守恒量存在的条件和形式,得到Mei对称性直接导致的Mei守恒量; 而后,进一步给出带附加项的广义Hamilton系统Mei守恒量的存在定理; 最后,研究一类新的三维广义Hamilton系统,并研究三体问题中3个涡旋的平面运动.
关键词:
广义Hamilton系统
Mei对称性
Mei守恒量
三体问题 相似文献
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研究Hamilton系统的形式不变性即Mei对称性,给出其定义和确定方程.研究Hamilton系统的Mei对称性与Noether对称性、Lie对称性之间的关系,寻求系统的守恒量.给出一个例子说明本文结果的应用.
关键词:
Hamilton系统
Mei对称性
Noether对称性
Lie对称性
守恒量 相似文献
5.
研究奇异系统Hamilton正则方程的形式不变性即Mei对称性,给出其定义、确定方程、限制方程和附加限制方程.研究奇异系统Hamilton正则方程的Mei对称性与Noether对称性、Lie对称性之间的关系,寻求系统的守恒量.给出一个例子说明结果的应用.
关键词:
奇异系统
Hamilton正则方程
约束
对称性
守恒量 相似文献
6.
研究了事件空间中非Chetaev型非完整约束系统由特殊的Lie对称性、Noether对称性和Mei对称性导致的Hojman守恒量.建立了系统的运动微分方程.给出了Lie对称性、Noether对称性和Mei对称性的判据,研究了三种对称性间的关系.将Hojman定理推广并应用于事件空间中的非Chetaev型非完整约束系统,得到Hojman守恒量.并举出一例说明结论的应用.
关键词:
事件空间
非Chetaev型非完整约束系统
对称性
Hojman守恒量 相似文献
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研究单面非Chetaev型非完整约束力学系统的对称性与非Noether守恒量.建立了系统的运动微分方程;给出了系统的Lie对称性和Mei对称性的定义和判据;对于单面非Chetaev型非完整系统,证明了在一定条件下,由系统的Lie对称性可直接导致一类新守恒量——Hojman守恒量,由系统的Mei对称性可直接导致一类新守恒量——Mei守恒量;研究了对称性和新守恒量之间的相互关系.文末,举例说明结果的应用.
关键词:
分析力学
单面约束
非完整系统
对称性
Hojman守恒量
Mei守恒量 相似文献
9.
对一类完整系统的方程给出其Mei对称性的定义和判据.如果Mei对称性是Noether对称性,则可找到Noether守恒量.如果Mei对称性是Lie对称性,则可找到Hojman型守恒量.举例说明结果的应用.
关键词:
分析力学
完整系统
Mei对称性
守恒量 相似文献
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研究广义Hamilton系统在无限小变换下的共形不变性与Mei对称性,给出系统共形不变性同时是Mei对称性的充分必要条件,得到广义Hamilton系统共形不变性导致的Mei守恒量,举例说明结果的应用. 相似文献
13.
Mei symmetry and generalized Hojman conserved quantity for variable mass systems with unilateral holonomic constraints 下载免费PDF全文
This paper studies Mei symmetry which leads to a generalized Hojman
conserved quantity for variable mass systems with unilateral
holonomic constraints. The differential equations of motion for the
systems are established, the definition and criterion of the Mei
symmetry for the systems are given. The necessary and sufficient
condition under which the Mei symmetry is a Lie symmetry for the
systems is obtained and a generalized Hojman conserved quantity
deduced from the Mei symmetry is got. An example is given to
illustrate the application of the results. 相似文献
14.
Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system 下载免费PDF全文
In this paper,we investigate whether the Lie symmetry can induce the Mei conserved quantity directly in a nonconservative Hamilton system and a theorem is presented.The condition under which the Lie symmetry of the system directly induces the Mei conserved quantity is given.Meanwhile,an example is discussed to illustrate the application of the results.The present results have shown that the Lie symmetry of a nonconservative Hamilton system can also induce the Mei conserved quantity directly. 相似文献
15.
Yi-Ping Luo 《International Journal of Theoretical Physics》2009,48(9):2665-2671
In this paper the generalized conformal symmetries and conserved quantities by Lie point transformations of Hamilton systems
are studied. The necessary and sufficient conditions of conformal symmetry by the action of infinitesimal Lie point transformations
which are simultaneous Lie symmetry are given. This kind type determining equations of conformal symmetry of mechanical systems
are studied. The Hojman conserved quantities of the Hamilton systems under infinitesimal special transformations are obtained.
The relations between conformal symmetries and the Lie symmetries are derived for Hamilton systems. Finally, as application
of the conformal symmetries, an illustration example is introduced. 相似文献
16.
Two kinds of integrals of generalized Hamilton systems with additional terms are discussed. One kind is the integral deduced by Poisson method; the other is Hojman integral obtained by Lie symmetry. 相似文献
17.
ZHENG Shi-Wang XIE Jia-Fang LI Yan-Min 《理论物理通讯》2008,49(4):851-854
Mei symmetry of Tzenoff equations for nonholonomic systems of non-Chetaev's type under the infinitesimal transformations of groups is studied. Its definitions and discriminant equations of Mei symmetry are given. Sufficient and necessary condition of Lie symmetry deduced by the Mei symmetry is also given. Hojman conserved quantity of Tzenoff equations for the systems through Lie symmetry in the condition of special Mei symmetry is obtained. 相似文献
18.
XIA Li-Li LI Yuan-Cheng WANG Xian-Jun 《理论物理通讯》2009,51(6):1073-1077
The Mei symmetries and the Lie symmetries for nonholonomic controllable mechanical systems with relativistic rotational variable mass are studied. The differential equations of motion of the systems are established. The definition and criterion of the Mei symmetries and the Lie symmetries of the system are studied respectively. The necessary and sufficient condition under which the Mei symmetry is Lie symmetry is given. The condition under which the Mei symmetries can be led to a new kind of conserved quantity and the form of the conserved quantity are obtained. An example is given to illustrate the application of the results. 相似文献