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Search Results: 1 - 10 of 130741 matches for " Chen Xiang-Wei "
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Jacobi Last Multiplier Method for Equations of Motion of Constrained Mechanical Systems

CHEN Xiang-Wei,MEI Feng-Xiang,

中国物理快报 , 2011,
Abstract:
PERTURBATION TO THE SYMMETRIES AND ADIABATIC INVARIANTS OF HOLONOMIC VARIABLE MASS SYSTEMS

Chen Xiang-wei,Mei Feng-xiang,

中国物理 B , 2000,
Abstract: The perturbation problem of symmetries for the holonomic variable mass systems under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of adiabatic invariants and the conditions for their existence are given. Then the corresponding inverse problem is studied. Finally an example is presented to illustrate these results.
Closed orbits and limit cycles of second-order autonomous Birkhoff systems
Closed orbits and limit cycles of second—order autonomous Birkhoff systems

Chen Xiang-Wei,
陈向炜

中国物理 B , 2003,
Abstract: In this paper, the existence of periodic orbits and the non-existence of limit cycles for the second-order autonomous Birkhoff system are studied. Further the existence of algebraic limit cycles for a generalized second-order autonomous Birkhoff system is studied.
Exact invariants and adiabatic invariants of the singular Lagrange system

Chen Xiang-Wei,Li Yan-Min,

中国物理 B , 2003,
Abstract: Based on the theory of symmetries and conserved quantities of the singular Lagrange system, the perturbations to the symmetries and adiabatic invariants of the singular Lagrange systems are discussed. Firstly, the concept of higher-order adiabatic invariants of the singular Lagrange system is proposed. Then, the conditions for the existence of the exact invariants and adiabatic invariants are proved, and their forms are given. Finally, an example is presented to illustrate these results.
Chaos in the second-order autonomous Birkhoff system with a heteroclinic circle
Chaos in the second—order autonomous Birkhoff system with a heteroclinic circle

Chen Xiang-Wei,
陈向炜

中国物理 B , 2002,
Abstract: Chaotic behaviour in a second-order autonomous Birkhoff system with a heteroclinic circle under weakly periodic perturbation is studied using the Melnikov method. The equations of heteroclinic orbits and the criteria for chaos are given. One example is also presented to illustrate the application of the results.
EFFECTS OF NON-CONSERVATIVE FORCES ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A LAGRANGE SYSTEM

Zhang Rui-chao,Chen Xiang-wei,Mei Feng-xiang,

中国物理 B , 2000,
Abstract: Non-conservative forces are exerted on a Lagrange system. Their effects on Lie symmetries, structure equation and conserved quantities of the system are studied. It can be seen that some Lie symmetries disappear and some new Lie symmetries emerge. Under certain conditions, some Lie symmetries will still remain present.
EFFECTS OF NONHOLONOMIC CONSTRAINT ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF LAGRANGIAN SYSTEMS

Zhang Rui-chao,Chen Xiang-wei,Mei Feng-xiang,

中国物理 B , 2000,
Abstract: After a Lagrangian system is constrained by nonholonomic constraints, the determining equations, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some symmetries vanish and under certain conditions some Lie symmetries still remain.
Conformal invariance and Hojman conservedquantities of first order Lagrange systems

Chen Xiang-Wei,Liu Chang,Mei Feng-Xiang,

中国物理 B , 2008,
Abstract: In this paper the conformal invariance by infinitesimal transformations of first order Lagrange systems is discussed in detail. The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given. Then it gets the Hojman conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.
EFFECTS OF CONSTRAINTS ON LIE SYMMETRIES AND CONSERVED QUANTITIES OF A BIRKHOFF SYSTEM

Zhang Rui-chao,Chen Xiang-wei,Mei Feng-xiang,

中国物理 B , 2001,
Abstract: After a Birkhoff system is restricted by constraints, the determining equations, the Lie symmetries, the structure equation and the form of conserved quantities corresponding to the Lie symmetries will change. Some Lie symmetries will disappear and under certain conditions some Lie symmetries will still remain present. The condition under which Lie symmetries and conserved quantities of the system will remain is given.
EXACT AND ADIABATIC INVARIANTS OF FIRST-ORDER LAGRANGE SYSTEMS

Chen Xiang-wei,Shang Mei,Mei Feng-xiang,

中国物理 B , 2001,
Abstract: A system of first-order differential equations is expressed in the form of first-order Lagrange equations. Based on the theory of symmetries and conserved quantities of first-order Lagrange systems, the perturbation to the symmetries and adiabatic invariants of first-order Lagrange systems are discussed. Firstly, the concept of higher-order adiabatic invariants of the first-order Lagrange system is proposed. Then, conditions for the existence of the exact and adiabatic invariants are proved, and their forms are given. Finally, an example is presented to illustrate these results.
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