【摘要】 讨论了相对论Birkhoff系统的三种对称性之间的关系,并利用Liapunov方法得到系统稳定性的若干判据.随后,应用能量Casimir函数法将系统稳定性与守恒量联系在了一起,并给出了算例.更多还原

【Abstract】 Relationships among the three symmetries——Noether symmetry,Lie symmetry and Mei symmetry of a relativistic Birkhoff system have been obtained. Some stability criteria are given by using Liapunov method. Finally the conservation quantity and the stability of the relativistic Birkhoff system are correlated by the Energy-Casimir functional, and an example is given, to illustrate the application of the method.更多还原