【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 .给出实例以说明方法的应用更多还原

【Abstract】 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.更多还原