共查询到18条相似文献,搜索用时 93 毫秒
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研究Chetaev型约束力学系统Appell方程的Lie对称性和Lie对称性直接导致的守恒量.分析Lagrange函数和A函数的关系;讨论Chetaev型约束力学系统Appell方程的Lie对称性导致的守恒量的一般研究方法;在群的无限小变换下,给出Appell方程Lie对称性的定义和判据;得到Lie对称性的结构方程以及Lie对称性直接导致的守恒量的表达式.举例说明结果的应用.
关键词:
Appell方程
Chetaev 型约束力学系统
Lie对称性
守恒量 相似文献
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研究非保守力和非完整约束对Hamilton系统的Lie对称性和守恒量的影响.分别研究了Hamilt on系统受到非保守力和非完整约束作用时,系统的Lie对称性保持不变的条件,同时给出了 系统的结构方程和守恒量保持不变的条件.以著名的Emden方程和Appell-Hamel模型为例进行 了分析讨论.
关键词:
分析力学
Hamilton系统
非保守力
非完整约束
对称性
守恒量 相似文献
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Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems 下载免费PDF全文
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. 相似文献
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Noether conserved quantities and Lie point symmetries of difference Lagrange--Maxwell equations and lattices 下载免费PDF全文
This paper presents a method to find Noether-type conserved quantities and Lie point symmetries for discrete mechanico-electrical dynamical systems,which leave invariant the set of solutions of the corresponding difference scheme.This approach makes it possible to devise techniques for solving the Lagrange-Maxwell equations in differences which correspond to mechanico-electrical systems,by adapting existing differential equations.In particular,it obtains a new systematic method to determine both the one-parameter Lie groups and the discrete Noether conserved quantities of Lie point symmetries for mechanico-electrical systems.As an application,it obtains the Lie point symmetries and the conserved quantities for the difference equation of a model that represents a capacitor microphone. 相似文献
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The conformal meehanico-electrical systems are presented by infinitesimal point transformations of time and generalized coordinates. The necessary and suflleient conditions that the eonformal meehanieo-eleetrieal systems possess Lie symmetry are given. The Noether conserved quantities of the eonformal meehanieo-eleetrieal systems are obtained from Lie symmetries. 相似文献
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A discrete total variation calculus with variable time steps is
presented for mechanico-electrical systems where there exist
non-potential and dissipative forces. By using this discrete
variation calculus, the symplectic-energy-first integrators for
mechanico-electrical systems are derived. To do this, the time step
adaptation is employed. The discrete variational principle and the
Euler--Lagrange equation are derived for the systems. By using this
discrete algorithm it is shown that mechanico-electrical systems are
not symplectic and their energies are not conserved unless they are
Lagrange mechanico-electrical systems. A practical example is
presented to illustrate these results. 相似文献
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《Physics letters. A》2006,358(1):5-10
We apply the non-Noether symmetry theory for mechanical systems to Lagrange–Maxwell mechanico-electrical systems. For these systems, we derive the Lutzky conserved quantities from the corresponding equations of motion, the non-conservative and the dissipative forces, and the Lagrangian. Also, a condition that characterizes when a non-Noether symmetry leads to a Noether conservation law is presented. 相似文献
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A new type of conserved quantity of Mei symmetry for the motion of mechanico electrical coupling dynamical systems 下载免费PDF全文
We obtain a new type of conserved quantity of Mei symmetry for the motion of mechanico-electrical coupling dynamical systems under the infinitesimal transformations. A criterion of Mei symmetry for the mechanico-electrical coupling dynamical systems is given. Simultaneously, the condition of existence of the new conserved quantity of Mei symmetry for mechanico-electrical coupling dynamical systems is obtained. Finally, an example is given to illustrate the application of the results. 相似文献
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Noether-Mei symmetry of a discrete mechanico-electrical system on a regular lattice is investigated.Firstly,the Noether symmetry of a discrete mechanico-electrical system is reviewed,and the motion equations and energy equations are derived.Secondly,the definition of Noether-Mei symmetry for the system is presented,and the criterion is derived.Thirdly,conserved quantities induced by Noether-Mei symmetry with their existence conditions are obtained.Finally,an example is discussed to illustrate the results. 相似文献
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Hamilton formalism and Noether symmetry for mechanico—electrical systems with fractional derivatives 下载免费PDF全文
This paper presents extensions to the traditional calculus of variations for mechanico-electrical systems containing fractional derivatives.The Euler-Lagrange equations and the Hamilton formalism of the mechanico-electrical systems with fractional derivatives are established.The definition and the criteria for the fractional generalized Noether quasisymmetry are presented.Furthermore,the fractional Noether theorem and conseved quantities of the systems are obtained by virtue of the invariance of the Hamiltonian action under the infinitesimal transformations.An example is presented to illustrate the application of the results. 相似文献