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
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.
Received: 29 September 2002
Revised: 10 January 2003
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
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 2003 Chinese Physics 12 351
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