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.
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.
出处
《哈尔滨师范大学自然科学学报》
CAS
2013年第4期4-7,共4页
Natural Science Journal of Harbin Normal University
基金
国家自然科学基金资助(11071169)
