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物理学报  2010 

Stability of equilibrium for the autonomous generalized Birkhoffian system
自治广义Birkhoff系统的平衡稳定性

Keywords: generalized Birkhoffian system,stability of equilibrium,first approximation method,direct method
广义Birkhoff系统,
,平衡稳定性,,一次近似法,,直接法

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Abstract:

The stability problem of equilibrium for a generalized Birkhoffian system is studied. The equations of equilibrium for the autonomous generalized Birkhoffian system are established. The equations of first approximation of the system are given,and the criterion of stability for equilibrium state of the system is established by using the Liapunov's first approximation theory. The Liapunov's function is constructed,and the criterion of stability for equilibrium state of the system is established by using the L...

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