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中国物理学会期刊

事件空间中Birkhoff系统的参数方程及其第一积分

CSTR: 32037.14.aps.57.2649

Parametric equations and its first integrals for Birkhoffian systems in the event space

CSTR: 32037.14.aps.57.2649
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  • 研究事件空间中Birkhoff系统动力学.在(2n+1)维事件空间中,建立了Birkhoff系统的Pfaff-Birkhoff-d'Alembert原理和Birkhoff参数方程,研究了方程的第一积分,给出了第一积分及其存在条件.

     

    In this paper, the dynamics of Birkhoffian systems in the event space is studied. The Pfaff-Birkhoff-d'Alembert principle and Birkhoff's parametric equations for the Birkhoffian systems are established in the event space of (2n+1) dimensions. The first integrals of the parametric equations and the conditions for their existence are presented.

     

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