ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (11): 1266-1274.

ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS

傅景礼, 陈向炜, 罗绍凯

Shangqiu Teachers College, Shangqiu, 476000, P. R. China

收稿日期:1998-05-11 修回日期:1999-04-20 出版日期:1999-11-18 发布日期:1999-11-18
基金资助:
the National Natural Science Foundation of China(19572018);the Natural Science Foundation of Henan Province,China(934060800,984053100)

ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS

Fu Jingli, Chen Xiangwei, Luo Shaokai

Shangqiu Teachers College, Shangqiu, 476000, P. R. China

Received:1998-05-11 Revised:1999-04-20 Online:1999-11-18 Published:1999-11-18
Supported by:
the National Natural Science Foundation of China(19572018);the Natural Science Foundation of Henan Province,China(934060800,984053100)

摘要/Abstract

摘要： 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.

关键词: rotational systems, relativity, analytic mechanics, equation of motion, algebraic structure, Poisson integral

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.

Key words: rotational systems, relativity, analytic mechanics, equation of motion, algebraic structure, Poisson integral

中图分类号:

傅景礼;陈向炜;罗绍凯. ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(11): 1266-1274.

Fu Jingli;Chen Xiangwei;Luo Shaokai. ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(11): 1266-1274.

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ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS

ALGEBRAIC STRUCTURES AND POISSON INTEGRALS OF RELATIVISTIC DYNAMICAL EQUATIONS FOR ROTATIONAL SYSTEMS

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