Study on control region of economic and management chaotic model
Yao Hong · Guanli kexue xuebao · 2003
It usually takes a long time to obtain a target orbit by controlling chaos. But a chaotic system sometimes cannot be effectively controlled, which is shown in the feedback control based on forecasting. Among the reasons, one is that chaotic models may have many fixed points, the other is the density of orbits. In order to know when to control, an equivalence relation is introduced in this paper. The characteristic exponent based on a probabilistic dynamical system is calculated, which provides some useful information on unstable periodic orbits of the chaotic economic dynamical system. An effective controlling parameter is chosen by discussing the sign of the characteristic exponent. Furthermore, the control regions of the parameter variable are proposed. Therefore the controllable domain of chaos in the chaotic economic model can be obtained.