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The Silnikov sense chaos attracted the attention of many investigators.Continuous efforts have been devoted to seeking the methods to determine the existence of Smale horseshoe chaos.In this endeavor, besides Sprotts[1-3] exhaustive searching for the chaos via computer program, Xu Pengcheng and Jing zhujun[4] found a method to determine the existences of Smale horseshoe chaos in coupled Duffings system using Melnikovs method and geometrical singular perturbation theory.Zhou tianshou, Chen guanrong[5] and Zhu shuqin[6] constructed a new chaotic system of quadratic polynomial ordinary differential equations in three dimensions based on the Silnikov criterion.Zhang qichang and Tian ruilan[7] studied the eigenvalue problem and existence of the homoclinic orbit respectively.