Abstract
The algebraic structures of the dynamical equations for the rotational relativistic systems are studied. It is found that the dynamical equations of holonomic conservative rotational relativistic systems and the special nonholonomic rotational relativistic systems have Lie's algebraic structure, and the dynamical equations of the general holonomic rotational relativistic systems and the general nonholonomic rotational relativistic systems have Lie admitted algebraic structure. At last the Poisson integrals of the dynamical equations for the rotational relativistic systems are given.
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Communicated by Li Li
Foundation item: the National Natural Science Foundation of China (19572018); the Natural Science Foundation of Henan Province, China (934060800, 984053100)
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Jingli, F., Xiangwei, C. & Shaokai, L. Algebraic structures and poisson integrals of relativistic dynamical equations for rotational systems. Appl Math Mech 20, 1266–1274 (1999). https://doi.org/10.1007/BF02463795
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DOI: https://doi.org/10.1007/BF02463795