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中文摘要：
分析了具有时滞的朝代循环模型的Hopf分支,证明了当时间延迟到达或穿过临界值时,系统的正平衡点附近出现了一族周期解,得到了平衡点附近出现Hopf分支的充分条件.并进行了数值模拟.
英文摘要：
A dynamical model of the dynastic cycle with delay is studied in this paper. The stability of the positive equilibrium change is proved when the delay cross a sequence of critical values. The sufficient condition of Hopf bifurcation nearby the positive equilibrium is got and more numerical simulations are shown to support the analysis results.
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