logistic模型的倍周期分岔控制

研究了logistic模型的倍周期分岔的控制问题，设计了各种线性控制器，得到了系统在控制前和控制后的分岔图，改变了动力系统的分岔特性.根据实际的应用目的可以设计不同的控制器，使倍周期分岔延迟或提前出现，甚至消失.适当选择控制器增益可以使分岔控制的效果更好. 关键词： logistic模型 倍周期分岔 分岔控制 控制器

Controlling the period-doubling bifurcation of logistic model

The bifurcation control of period-doubling bifurcation in logistic model have been studied in this paper. The bifurcation maps of logistic model are achieved and the bifurcation characteristic of the dynamical system is changed by using variable-parameter linear controllers. In order to change the parameter value of all existing bifurcation points and modify the shape of a bifurcation chain, we can design variable controllers in for practical aims. Moreover, the bifurcation map may be obtained more effectively by adequately choosing the controller gain.