关键词:  stability;asymptotic , stability;periodic , solution;Hamilton , system;submersive , operator

Abstract: In this paper, we consider the dynamical systems which are from a kind of Hamilton systems under a disturbance. We use theories in Liapunov stability,and show that there are not any periodic solutions in some a neibourhood of the equilibrium points of the dynamical systems. 

Key words:  stability;asymptotic , stability;periodic , solution;Hamilton , system;submersive , operator