学生网的增长态势及其分形特征分析

Analysis of Growth of Student Networks and Its Fractal Properties

通过一个实际的学生网络,研究具有复杂网络特征的实例网络的增长特性。在Logistic模型的基础上,根据学生网在振荡中增长的特点,对Logistic模型进行参数修正和改进,并通过浮点型遗传算法进行拟合,得到学生网增长的最终拟合模型。然后根据学生网增长的时间序列特征,采用表征分形特征的分维算法,计算得到学生网增长的分数维,得出学生网在增长过程中确实具有分形特征的结论。最后确定了可对学生网增长态势做准确长期预测的数学模型形式。

This paper was written to analyze growth properties of some complex networks through a real complex networks student networks （SN）. Based on Logistic model, properties of SN were firstly studied and an improved Logistic Model was put foreword according to the oscillation during the growth of SN. Then the improved model was yielded by float-point GA and its constringency is analyzed. Next, the fractal properties of SN were studied. The correlation dimension of SN was finally calculated through an algorithm and a conclusion that the growth of SN has some features of fractal was yielded.