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应用一种基于时滞反馈的分支控制方法,对一类具有时滞的商业周期模型的Hopf分支进行了控制.以时滞作为分支参数,当时滞达到某个阈值时,无控系统失去稳定性,Hopf分支产生:将时滞反馈控制器引入无控系统,可以使Hopf分支延迟发生或消失.数值仿真的结果验证了该方法的有效性.
A branch control method based on time-delay feedback is proposed to control the Hopf bifurcation of a class of business cycle model with time-delay. With time delay as a branch parameter, when the time-delay reaches a certain threshold, the uncontrolled system loses its stability Hopf bifurcation: The delay feedback controller is introduced into uncontrolled system, which can make Hopf bifurcation delay occur or disappear. The numerical simulation results verify the effectiveness of the proposed method.