分布时滞Shimizu-Morioka系统的稳定性及Hopf分岔分析

Stability and Hopf bifurcation of Shimizu-Morioka system with distributed delay

研究带分布时滞反馈控制的Shimizu-Morioka混沌系统。运用Routh-Hurwitz准则分析弱核及强核情形下的平衡点局部稳定性以及系统产生Hopf分岔的条件,并通过数值模拟验证了理论分析结果。

In this paper,Shimizu-Morioka chaotic system with distributed time delay feedback control is studied.Local stability of the equilibrium point is analyzed by means of Routh-Hurwitz criterion under the weak and strong kernel cases,respectively.In addition,the conditions under which Hopf bifurcation occurs are investigated.Numerical simulation results are given to verify the theoretical predictions.