Cyclic integrals and reduction of rotational relativistic Birkhoffian system |
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| Authors: | Luo Shao-Kai |
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| Affiliation: | Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China |
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| 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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| Keywords: | rotational relativity Birkhoffian equation cyclic integral order reduction method |
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