In order to better analyze the control dependences and data dependences in aspectoriented programs,a  system dependence graph for aspectoriented programs need to be constructed. As for the structures and mechanisms of aspectoriented programs, and taking the impact on dependences by advice priority into account, an Advice Fluctuation Graph(AFG) is proposed, as well as its generation algorithm. Then a new system dependence graph for aspectoriented programs based on advice fluctuation(AOSDG) is constructed.The system dependence graph constructed using this method can express the dependences in the program more accurately with relatively low cost, and can be applied to slicing aspectoriented programs.