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.
Received: 15 August 2002
Revised: 18 September 2002
Accepted manuscript online:
Fund: 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).
Cite this article:
Luo Shao-Kai (罗绍凯) Cyclic integrals and reduction of rotational relativistic Birkhoffian system 2003 Chinese Physics 12 140
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