相对论Birkhoff系统的平衡稳定性  

Stability of the equilibrium state in relativistic Birkhoff systems

作　　者：傅景礼[1,2] 陈立群[1] 薛纭[1] 罗绍凯[3] 

机构地区：[1]上海大学上海市应用数学和力学研究所 [2]商丘师范学院数学力学和数学物理研究所,商丘476000 [3]长沙大学数学力学和数学物理研究所

出　　处：《物理学报》2002年第12期2683-2689,共7页Acta Physica Sinica

基　　金：河南省自然科学基金 (批准号 :9840 5 3 0 0 )资助的课题~~

摘　　要：研究相对论Birkhoff系统的平衡稳定性 .给出相对论Birkhoff自治系统、半自治系统和非自治系统的平衡方程、受扰运动方程和一次近似方程 ;给出判定平衡稳定性的一次近似方法及其判据 ;讨论相对论Birkhoff系统平衡稳定性和经典Birkhoff系统平衡稳定性的关系 .The stabilities of the equilibrium state in relativistic Birkhoff autonomous systems, relativistic Birkhoff semi-autonomous systems and relativistic Birkhoff non-autonomous systems are studied. The equilibrium state equations are given. The disturbance equation and the first approximate equation are established. The stability criteria for the equilibrium state are obtained. The relationship between the stabilities of the equilibrium state in relativistic Birkhoff systems and classical Birkhoff systems is discussed. Several examples are presented to illustrate the results.

关 键 词：相对论 BIRKHOFF系统 平衡稳定性 一次近似方法 自治系统 半自治系统 非自治系统 分析力学 

分 类 号：O316[理学—一般力学与力学基础]