Abstract The Birkhoffian and Birkhoff's functions of a rotational relativistic system are constructed, the Pfaff action of rotational relativistic system is defined, the Pfaff-Birkhoff principle of a rotational relativistic system is given, and the Pfaff-Birkhoff-D'Alembert principles and Birkhoff's equations of rotational relativistic system are constructed. The geometrical description of a rotational relativistic system is studied, and the exact properties of Birkhoff's equations and their forms on $\vec{R}\times T*M$ for a rotational relativistic system are obtained. The global analysis of Birkhoff's equations for a rotational relativistic system is studied, the global properties of autonomous, semi-autonomous and non-autonomous rotational relativistic Birkhoff's equations, and the geometrical properties of energy change for rotational relativistic Birkhoff's equations are given.
Received: 04 August 2000
Revised: 08 December 2000
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19972010) and the Natural Science Foundation of Henan Province (Grant Nos. 984053100, 998040080, 934060800)
Cite this article:
Luo Shao-kai (罗绍凯), Chen Xiang-wei (陈向炜), Fu Jing-li (傅景礼) BIRKHOFF'S EQUATIONS AND GEOMETRICAL THEORY OF ROTATIONAL RELATIVISTIC SYSTEM 2001 Chinese Physics 10 271
GLOBAL ANALYSIS OF SPECTRA OF THE PO2 RADICAL IN THE GAS PHASE Liu Yu-yan (刘煜炎), Liu Xiao-yong (刘效庸), Liu Hong-ping (刘红平), Guo Yuan-qing (郭远清), Huang Guang-ming (黄光明), Lin Jie-li (林洁丽), Gao Hui (高晖), Duan Chuan-xi (段传喜). Chin. Phys. B, 2000, 9(9): 652-655.
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