Stability for the equilibrium state manifold of relativistic Birkhoffian systems

doi:10.1088/1009-1963/12/4/301

中国物理B ›› 2003, Vol. 12 ›› Issue (4): 351-356.doi: 10.1088/1009-1963/12/4/301

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Stability for the equilibrium state manifold of relativistic Birkhoffian systems

骆毅¹, 罗绍凯², 陈立群³, 傅景礼⁴

(1)Department of Engineering Mechanics, School of Civil and Architectural Engineering, Kunming University of Science and Technology, Kunming 650024, China; (2)Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China; (3)Institute of Mathematical Mechanics and Mathematical physics, Shangqiu Teachers College, Shangqiu 476000, China; (4)Institute of Mathematical Mechanics and Mathematical physics, Shangqiu Teachers College, Shangqiu 476000, China; Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2002-09-29 修回日期:2003-01-10 出版日期:2003-04-16 发布日期:2005-03-16

Stability for the equilibrium state manifold of relativistic Birkhoffian systems

Fu Jing-Li (傅景礼)^ab, Chen Li-Qun (陈立群)^a, Luo Yi (骆毅)^c, Luo Shao-Kai (罗绍凯)^d

^a Institute of Mathematical Mechanics and Mathematical physics, Shangqiu Teachers College, Shangqiu 476000, China; ^b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; ^c Department of Engineering Mechanics, School of Civil and Architectural Engineering, Kunming University of Science and Technology, Kunming 650024, China; ^d Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China

Received:2002-09-29 Revised:2003-01-10 Online:2003-04-16 Published:2005-03-16

摘要/Abstract

摘要： In this paper, the stability of equilibrium state manifold for relativistic Birkhoffian systems is studied. The equilibrium state equations, the disturbance equations and their first approximation are presented. The criteria of stability for the equilibrium state manifold are obtained. The relationship between the stability of the equilibrium-state manifold of relativistic Birkhoffian systems and that of classical Birkhoffian systems is discussed. An example is given to illustrate the results.

Abstract: In this paper, the stability of equilibrium state manifold for relativistic Birkhoffian systems is studied. The equilibrium state equations, the disturbance equations and their first approximation are presented. The criteria of stability for the equilibrium state manifold are obtained. The relationship between the stability of the equilibrium-state manifold of relativistic Birkhoffian systems and that of classical Birkhoffian systems is discussed. An example is given to illustrate the results.

Key words: relativity, Birkhoffian systems, stability, equilibrium state, manifold

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

03.30.+p (Special relativity)

傅景礼, 陈立群, 骆毅, 罗绍凯. Stability for the equilibrium state manifold of relativistic Birkhoffian systems[J]. 中国物理B, 2003, 12(4): 351-356.

Fu Jing-Li (傅景礼), Chen Li-Qun (陈立群), Luo Yi (骆毅), Luo Shao-Kai (罗绍凯). Stability for the equilibrium state manifold of relativistic Birkhoffian systems[J]. Chinese Physics, 2003, 12(4): 351-356.

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Stability for the equilibrium state manifold of relativistic Birkhoffian systems

Stability for the equilibrium state manifold of relativistic Birkhoffian systems

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