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2003 Volume 12 Issue 2
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Luo Shao-Kai(罗绍凯). 2003: Cyclic integrals and reduction of rotational relativistic Birkhoffian system, Chinese Physics B, 12(2): 140-143.
Citation: Luo Shao-Kai(罗绍凯). 2003: Cyclic integrals and reduction of rotational relativistic Birkhoffian system, Chinese Physics B, 12(2): 140-143.
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Cyclic integrals and reduction of rotational relativistic Birkhoffian system

  • Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China

  • Corresponding author: Luo Shao-Kai(罗绍凯)
  • Available Online: 28/02/2003
  • Fund Project: the National Natural Science Foundation of China(Grant 19972010)%by the Natural Science Foundation of Henan Province, China(Grant 984053100, 998040080, 934060800)%by the Scientific Research Foundation of the Eduction Bur
  • The order reduction method of the rotational relativistic Birkhoffian equations is studied. For a rotational relativistic Birkhoffian system, the cyclic integrals can be found by using the perfect differential method. Through these cyclic integrals, the order of the system can be reduced. If the rotational relativistic Birkhoffian system has a cyclic integral, then the Birkhoffian equations can be reduced at least two degrees and the Birkhoffian form can be kept. An example is given to illustrate the application of the results.
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Cyclic integrals and reduction of rotational relativistic Birkhoffian system

    Corresponding author: Luo Shao-Kai(罗绍凯)
  • Available Online: 28/02/2003

Abstract: The order reduction method of the rotational relativistic Birkhoffian equations is studied. For a rotational relativistic Birkhoffian system, the cyclic integrals can be found by using the perfect differential method. Through these cyclic integrals, the order of the system can be reduced. If the rotational relativistic Birkhoffian system has a cyclic integral, then the Birkhoffian equations can be reduced at least two degrees and the Birkhoffian form can be kept. An example is given to illustrate the application of the results.

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