中文摘要：

分析了一个超混沌Lorenz系统,并且对其平衡点的局部稳定性和Hopf分岔的存在性进行研究,通过非线性动力学理论研究该系统Hopf分岔周期解的稳定性;最后通过计算机仿真证明理论分析的正确性.

英文摘要：

The paper mainly focuses on the analysis of a hyperchaotic Lorenz system. The local stability of equilibrium is analyzed and existence of Hopf bifurcation is established. The stability of bifurcating periodic solutions is studied by nonlinear dynamic theory. Finally,numerical simulation is given to illustrate the theoretical analysis.