【摘 要】
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The Birkhoffian and Birkhoff’s functions of a rotational relativistic system are constructed, the Pfaff action ofrnrotational relativistic system is defined, t
【机 构】
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Institute of Mathematical Mechanics and Mathematical Physics, Shangqiu Teachers College, Shangqiu 47
论文部分内容阅读
The Birkhoffian and Birkhoff’s functions of a rotational relativistic system are constructed, the Pfaff action ofrnrotational relativistic system is defined, the Pfaff-Birkhoff principle of a rotational relativistic system is given, andrnthe Pfaff-Birkhoff-D’Alembert principles and Birkhoff’s equations of rotational relativistic system are constructed. Therngeometrical description of a rotational relativistic system is studied, and the exact properties of Birkhoff’s equations andrntheir forms onR × T*M for a rotational relativistic system are obtained. The global analysis of Birkhoff’s equations forrna rotational relativistic system is studied, the global properties of autonomous, semi-autonomous and non-autonomousrnrotational relativistic Birkhoff’s equations, and the geometrical properties of energy change for rotational relativisticrnBirkhoff’s equations are given.
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