Cyclic integrals and reduction of rotational relativistic Birkhoffian system

doi:10.1088/1009-1963/12/2/303

中国物理B ›› 2003, Vol. 12 ›› Issue (2): 140-143.doi: 10.1088/1009-1963/12/2/303

Cyclic integrals and reduction of rotational relativistic Birkhoffian system

罗绍凯

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

收稿日期:2002-08-15 修回日期:2002-09-18 出版日期:2005-03-16 发布日期:2005-03-16
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 19972010), by the Natural Science Foundation of Henan Province, China (Grant Nos 984053100, 998040080, 934060800) and by the Scientific Research Foundation of the Eduction Bureau of Hanan Province, China (Grant No 02C033).

Cyclic integrals and reduction of rotational relativistic Birkhoffian system

Luo Shao-Kai (罗绍凯)

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

Received:2002-08-15 Revised:2002-09-18 Online:2005-03-16 Published:2005-03-16
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 19972010), by the Natural Science Foundation of Henan Province, China (Grant Nos 984053100, 998040080, 934060800) and by the Scientific Research Foundation of the Eduction Bureau of Hanan Province, China (Grant No 02C033).

摘要/Abstract

摘要： 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.

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.

Key words: rotational relativity, Birkhoffian equation, cyclic integral, order reduction method

中图分类号: (Integral equations)

02.30.Rz

02.60.Nm (Integral and integrodifferential equations) 03.30.+p (Special relativity)

罗绍凯. Cyclic integrals and reduction of rotational relativistic Birkhoffian system[J]. 中国物理B, 2003, 12(2): 140-143.

Luo Shao-Kai (罗绍凯). Cyclic integrals and reduction of rotational relativistic Birkhoffian system[J]. Chinese Physics, 2003, 12(2): 140-143.

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Cyclic integrals and reduction of rotational relativistic Birkhoffian system

Cyclic integrals and reduction of rotational relativistic Birkhoffian system

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