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[期刊论文] 作者:HU Chu-le,XIE Jia-fang, 来源:北京理工大学学报(英文版) 年份:2004
Lie symmetry of Maggi equations is studied. Its determining equation and restriction equation of nonholonomic constraint are given. A Hojman conserved quantity...
[期刊论文] 作者:Hu Chu-Le,Xie Jia-Fang, 来源:中国物理B(英文版) 年份:2008
This paper is intended to apply the potential integration method to the differential equations of the Birkhoffian system.The method is that,for a given Birkhoff...
[期刊论文] 作者:MEI Feng-Xiang XIE Jia-Fang GA, 来源:理论物理通讯:英文版 年份:2008
在纸[J。北京工学院 26 (2006 ) 285 ] 作者提供了定义弱 Noether 对称。我们现在讨论弱为 Chetaev 的类型的 non-holonomic 系统的 Noether 对称,和三种保存数量由的现在的表...
[期刊论文] 作者:XIE Jia-Fang MEI Feng-Xiang GA, 来源:理论物理通讯:英文版 年份:2008
A new kind of weak Noether symmetry for a general holonomic system is defined in such a way that themethods to construct Hojman conserved quantity and new-...
[期刊论文] 作者:ZHENG Shi-Wang,XIE Jia-Fang,LI, 来源:理论物理通讯:英文版 年份:2008
为 non-Chetaev 在组的无穷小的转变下面的类型的 nonholonomic 系统的 Tz é noff 方程的 Mei 对称被学习。它的定义和 Mei 对称的判别式方程被给。Mei 对称推出的谎言...
[期刊论文] 作者:ZHENG Shi-Wang,XIE Jia-Fang,JI, 来源:理论物理通讯(英文版) 年份:2004
Symmetry of Tzénoff equations for unilateral holonomic system under the infinitesimal transformations equations are given. Sufficient and necessary condition o...
[期刊论文] 作者:XIE Jia-fang,WU Run-heng,ZHANG, 来源:北京理工大学学报(英文版) 年份:2004
A new kind of weak Noether symmetry is obtained that arises in the study of Birkhoffian systems.The conserved quantities,which includes Noether conserved quanti...
[期刊论文] 作者:Mei Feng-Xiang,Xie Jia-Fang,Gang Tie-Qiang, 来源:中国物理(英文版) 年份:2007
The purpose of this paper is to study the solution of the celebrated Whittaker equations by using analytical mechanics methods, including the Lagrange-Noether m...
[期刊论文] 作者:Mei Feng-Xiang,Gang Tie-Qiang,Xie Jia-Fang, 来源:中国物理(英文版) 年份:2006
A symmetry and a conserved quantity of the Birkhoff system are studied.The symmetry is called the Birkhoff symmetry.Its definition and criterion are given in th...
[期刊论文] 作者:Gang Tie-Qiang,Mei Feng-Xiang,Xie Jia-Fang, 来源:中国物理B(英文版) 年份:2008
In this paper,the dissipative and the forced terms of the Duffing equation are considered as the perturbations of nonlinear Hamiltonian equations and the pertur...
[期刊论文] 作者:Jia Li-Qun,Xie Jia-Fang,Zheng Shi-Wang, 来源:中国物理B(英文版) 年份:2008
This paper investigates structure equation and Mei conserved quantity of Mei symmetry of Appell equations for non-Chetaev nonholonomic systems.Appell equations...
[期刊论文] 作者:Xie Jia-Fang,Gang Tie-Qiang,Mei Feng-Xiang, 来源:中国物理B(英文版) 年份:2008
This paper studies the Hojman conserved quantity,a non-Noether conserved quantity,deduced by special weak Noether symmetry for Lagrange systems.Under special in...
[期刊论文] 作者:Xie Jia-Fang,Gang Tie-Qiang,Mei Feng-Xiang, 来源:中国物理B(英文版) 年份:2008
Baaed on the weak Noether symmetry proposed by Mei F X,this paper discusses the weak Noether symmetry for nonholonomic system of non-Chetaev type,and presents e...
[期刊论文] 作者:Jia Li-Qun,Xie Jia-Fang,Luo Shao-Kai, 来源:中国物理B(英文版) 年份:2008
This paper studies the Mei symmetry and Mei conserved quantity for nonholonomic systems of unilateral Chetaev type in Nielsen style.The differential equations o...
[期刊论文] 作者:LI Guang-cheng,XIE Jia-fang,YUE Bao-zeng, 来源:黑龙江科技信息 年份:2007
本文通过对荣华二采区10...
[期刊论文] 作者:ZHENG Shi-Wang,XIE Jia-Fang,CHEN Wen-Cong, 来源:中国物理快报(英文版) 年份:2008
A new conserved quantity is investigated by utilizing the definition and discriminant equation of Mei symmetry of Tzénoff equations for nonholonomic systems.In...
[期刊论文] 作者:MEI Feng-Xiang,XIE Jia-Fang,GANG Tie-Qiang, 来源:中国物理快报(英文版) 年份:2007
Perturbation differential equations of motion of a general nonholonomic system subjected to the ideal nonholonomic constraints of Chetaevs type are established,...
[期刊论文] 作者:ZHENG Shi-Wang,XIE Jia-Fang,ZHANG Qing-Hua, 来源:中国物理快报(英文版) 年份:2007
A new conserved quantity is deduced from Mei symmetry of Tzénoff equations for holonomic systems. The expression of this new conserved quantity is given, and t...
[期刊论文] 作者:ZHENG Shi-Wang,XIE Jia-Fang,JIA Li-Qun, 来源:中国物理快报(英文版) 年份:2006
A holonomic system with redundant coordinates can be expressed in Tzénoff equations. We concentrate on the symmetry for these Tzénoff equations under the infi...
[期刊论文] 作者:ZHENG Shi-Wang,WANG Jian-Bo,CHEN Xiang-Wei,XIE Jia-Fang, 来源:中国物理快报(英文版) 年份:2012
Operational systems of spacecraft are general variable mass mechanics systems,and their symmetries and conserved quantities imply profound physical rules of the...
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