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Search Results: 1 - 10 of 399930 matches for " <br>陈向炜 "
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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,<br>
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.
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,<br>
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.
Perturbation to symmetries and adiabatic invariants of a type of nonholonomic singular system
Chen Xiang-Wei,Li Yan-Min,<br>,李彦敏
中国物理 B , 2003,
Abstract: Based on the theory of symmetries and conserved quantities, the perturbation to the symmetries and adiabatic invariants of a type of nonholonomic singular system are discussed. Firstly, the concept of higher order adiabatic invariants of the system is proposed. Secondly, the conditions for existence of the exact invariants and adiabatic invariants are proved, and their forms are given. Thirdly, we study the inverse problems of the perturbation to symmetries of the system. An example is presented to illustrate these results.
Noether''s theorem and one-step corrections method for holonomic system
Noether's theorem and one-step corrections method for holonomic system

Shang Mei,Chen Xiang-Wei,<br>尚 玫,
中国物理 B , 2006,
Abstract: In this paper, a new computational method for improving the accuracy of numerically computed solutions is introduced. The computational method is based on the one-step method and conserved quantities of holonomic systems are considered as kinematical constraints in this method.
Exact invariants and adiabatic invariants of holonomic system in terms of quasi-coordinates
准坐标下完整系统的精确不变量与绝热不变量

Chen Xiang-Wei,Li Yan-Min,<br>,李彦敏
中国物理 B , 2005,
Abstract: Based on the theory of Lie symmetries and conserved quantities, the exact invariants and adiabatic invariants of holonomic system are studied in terms of quasi-coordinates. The perturbation to symmetries for the holonomic system in terms of quasi-coordinates under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied.
Conformal invariance and conserved quantity for holonomic mechanical systems with variable mass
变质量完整动力学系统的共形不变性与守恒量

Chen Xiang-Wei,Zhao Yong-Hong,Liu Chang,<br>,赵永红,刘畅
物理学报 , 2009,
Abstract: In this paper, the conformal invariance of holonomic mechanical systems with variable mass is studied. The necessary and the sufficient conditions of conformal invariance of the system are obtained and shown to be also those of Lie symmetry simultaneously. Finally the Noether conserved quantities of conformal invariance are presented.
Geometric representation of Noether symmetry for dynamical systems
动力学系统Noether对称性的几何表示

Liu Chang,Zhao Yong-Hong,Chen Xiang-Wei,<br>刘畅,赵永红,
物理学报 , 2010,
Abstract: In this article Noether symmetry of Lagrange systems, Hamilton systems and Birkhoff systems are discussed by geometric methods. And the corresponding Noether conserved quantities are deduced.
Exact invariants and adiabatic invariants of dynamical system of relative motion
Exact invariants and adiabatic invariantsof dynamical system of relative motion

Chen Xiang-Wei,Wang Xin-Min,Wang Ming-Quan,<br>,王新民,王明泉
中国物理 B , 2004,
Abstract: Based on the theory of symmetries and conserved quantities, the exact invariants and adiabatic invariants of a dynamical system of relative motion are studied. The perturbation to symmetries for the dynamical system of relative motion under small excitation is discussed. The concept of high-order adiabatic invariant is presented, and the form of exact invariants and adiabatic invariants as well as the conditions for their existence are given. Then the corresponding inverse problem is studied.
BASIC THEORY OF RELATIVISTIC BIRKHOFFIAN DYNAMICS OF ROTATIONAL SYSTEM
转动系统相对论性Birkhoff动力学的基本理论

LUO SHAO-KAI,FU JING-LI,CHEN XIANG-WEI,<br>罗绍凯,傅景礼,
物理学报 , 2001,
Abstract: The basic theory of relativistic Birkhoffian dynamics of rotational system is constructed,and the Birkhoffian,Birkhoff's functions,Pfaff action,Pfaff-Birkhoff principle,Pfaff-Birkhoff-D'Alembert principle and Birkhoffian equations are given.The relations among relativistic Lagrangian mechanics,Hamiltonian mechanics and relativistic Birkhoffian dynamics of rotational system are studied.It is proved that the holonomic conserved and holonomic non-conserved rotational relativistic systems can all belong to the rotational relativistic Birkhoffian system.
Another kind of conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems
完整系统Tzénoff方程的Mei对称性直接导致的另一种守恒量

Zheng Shi-Wang,Xie Jia-Fang,Chen Xiang-Wei,Du Xue-Lian,<br>郑世旺,解加芳,,杜雪莲
物理学报 , 2010,
Abstract: Another kind of conserved quantity deduced from Mei symmetry of Tzénoff equations for holonomic systems is studied. The expression of this conserved quantity and the determining equation to induce this conserved quantity are presented. The results indicate that this new method is easier to find conserved quantities than methods reported previously. Finally, application of this new result is presented by a practical example.
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