时滞类Lorenz系统的Hopf分岔

Hopf Bifurcation Analysis of the Lorenz-like System with the Delayed

利用中心流形理论和规范型方法,研究了时滞类Lorenz系统在平衡点的稳定性问题和发生Hopf分岔的条件.最后,用数值仿真验证所得结论与理论分析一致.本文的结论是对文献[2]研究成果的推广.

In this paper, we analyze the stability and Hopf bifurcation condition of the system at its balance by using the normal form method and the center manifold theorem. Furthermore, some numerical simulations were given to show the correctness of the obtained conclusion.This paper extends the research achievements in literature [2].