学生网的生长态势及其分形特征分析

Analysis of Growth of Student Network and Its Fractal Characteristics

基于研究生物种群生长的Logistic模型,根据一个实际的学生网在增长中的振荡特点,改进Logistic模型形式,然后通过浮点型遗传算法进行拟合,得到学生网增长的拟合模型,并分析了其收敛性及可信度.最后通过学生网增长的时间序列,根据分维算法,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.

Analyzes the growth characteristics of some complex networks through a real student network（SN）, Based on the logistic model for biocenologic growth, the characteristics of SN which grows oscillatorily are studied to improve the logistic model. The improved model is fitted with float-point GA to form a fitting model and its constringency and confidence are analyzed. Then, the fractal dimension of SN growth is calculated through the time series of SN growth, thus coming to a conclusion that the SN growth process is featured with fractal.