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The Duffing equation is a typical example in the nonlinear dynamic promblems.and have complex dynamic characteristics.There are some actual problem which can use Duffing equation represent.The methods which are used to investigate the dynamic characteristics include time domain method and frequency domain meth od.The stability.Hopf bifurcation.chaos are the research emphasis.After the pioneering work of Ott.Grebogi and Yorke (OGY) [1].controlling chaos and bifurcations have become more interesting in academic research and practical applications [2,3].Generally there are two ways to control chaos: feedback control methods and nonlinear feedback control methods.