Luo Shao-kai et al 2001 Chinese Phys. 10 271 doi:10.1088/1009-1963/10/4/301
Birkhoff's equations and geometrical theory of rotational relativistic system
Luo Shao-kai, Chen Xiang-wei and Fu Jing-li
Show affiliations 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 
×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.
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Issue 4 (April 2001)
Received 4 August 2000, in final form 8 December 2000
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Birkhoff's equations and geometrical theory of rotational relativistic system
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