Chaos phenomena exist extensively in all kinds of nonlinear systems. One-dimensional Logistic model reveals chaos behaviour in ecological fields. In this paper , the new model about "the number of insecf'is proposed based on the Logistic model and chaos characteristic of the model is investigated. The result shows that there are abundant chaos dynamic properties, inclouding some novel evolution patterns such as the periodic coalescence .By means of the control method of the auxiliary reference feedback, the model is successfully controlled into a variety of difference orbits of high/low periods. The method is of the following advantages: swiftness, high stability, flexibility and convenience. |