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The inverted double pendulum with a vibrating base is often occurred in Engineering, which is a complex nonlinear system with two degree of freedom and a good prospect of applications in ocean wave generating[1].In recent years, the research found that the conservative planar double pendulum system is a Hamilton system[2].There is wealth of dynamic phenomena in the system.The research on bifurcation and stability near the critical point has been achieved [3,4,5].The roads of period-doubling leading to chaos exit in the Double pendulum with parametric excitation[6,7].