自治Birkhoff系统的平衡稳定性及全局稳定性

Equilibrium stability and global stability of autonomous Birkhoff system

研究自治Birkhoff系统的平衡稳定性及全局稳定性 .首先根据Liapunov一次近似理论和Liapunov直接法研究自治Birkhoff系统的平衡稳定性 ,给出平衡稳定性与不稳定性的有关判据 .

Equilibrium stability and global stability of autonomous Birkhoff system are studied.Firstly the equilibrium stability of autonomous Birkhoff system is studied by the Liapunov first approximation theory and the Liapunov direct method,and the corresponding criteria for equilibrium stability and unstability are given.Then,the global asymptotical stability of autonomous Birkhoff system is studied by the Krasovskii method.Finally,an example is presented to illustrate these results.