【摘要】 研究转动相对论Birkhoff系统的平衡稳定性 ,给出转动相对论Birkhoff自治系统、半自治系统和非自治系统的平衡方程和转动相对论Birkhoff自治系统的受扰运动方程和一次近似方程 ;给出转动相对论Birkhoff自治系统平衡稳定性的一次近似方法及其判据 ;并给出转动相对论Birkhoff自治系统平衡稳定性的直接方法及其判据 ;讨论转动相对论Birkhoff系统平衡稳定性和经典转动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 stability for equilibrium state of rotational relativistic Birkhoffian systems is studied.The equilibrium state equations, the disturbance equation and the first approximation equation are given.The stability criteria for equilibrium state,and the stability criteria of the direct method for the rotational relativistic Birkhoffian autonomous systems are obtained.The relationship of the stability of equilibrium state between rotational relativistic Birkhoffian systems and rotational classical Birkhoffian systems are discussed. Two examples are presented to illustrate the results.更多还原