论文信息 - A symmetry and a conserved quantity for the Birkhoff system

A symmetry and a conserved quantity for the Birkhoff system

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 this paper. A conserved quantity can be deduced by using the symmetry. An example is given to illustrate the application of the result.

Mei Feng-Xiang | Mei Feng-xiang | Gang Tie-Qiang | XieJia-Fang | Gang Tie-qiang

[1] S. Hojman,et al. Equivalent Lagrangians: Multidimensional case , 1981 .

[2] Zhang Hong-bin. Lie symmetries and conserved quantities of non-holonomic mechanical systems with unilateral Vacco constraints , 2002 .

[3] Ruggero Maria Santilli,et al. Foundations of Theoretical Mechanics I , 1978 .

[4] Mei Feng-xiang,et al. Unified symmetry of holonomic mechanical systems , 2005 .

[5] Wu Hui-bin. Lie-form invariance of the Lagrange system , 2005 .

[6] Qiao Yong-fen,et al. Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems , 2004 .

[7] F. X. Mei,et al. Lie symmetries and conserved quantities of constrained mechanical systems , 2000 .

[8] Xu Xuejun,et al. A unified symmetry of lagrangian systems , 2004 .

[9] Fang Jian-hui,et al. The Lie symmetrical non-Noether conserved quantity of holonomic Hamiltonian system , 2004 .

[10] 张永发,et al. Lie symmetry and conserved quantity of a system of first-order differential equations , 2006 .

[11] M. Lutzky,et al. Dynamical symmetries and conserved quantities , 1979 .

[12] D. Currie,et al. q‐Equivalent Particle Hamiltonians. I. The Classical One‐Dimensional Case , 1966 .

[13] Mei Feng-xiang,et al. Form invariance and Lie symmetry of equations of non-holonomic systems , 2002 .

[14] 傅景礼,et al. Non-Noether symmetries and Lutzky conservative quantities of nonholonomic nonconservative dynamical systems , 2006 .