中文摘要：

利用主方程和连续域理论分析了BA无标度网络的度分布以及初始吸引因子对网络节点度分布的演化过程。对BA模型进行了改进和推广,提出了随机吸引因子网络演化模型。此网络演化模型通过理论分析和数值模拟验证是吻合的,该模型是无标度网络演化模型。实验结果表明,改进的模型能够很好地反映现实系统中的一些重要性质,具有实际应用价值。

英文摘要：

In this paper, we use master equation and continuum theory approach to investigate a number oI problems m complex networks. The paper improves some extending to BA scale-free network model＇s algorithm. This paper provided a kind of scale-free networks model attractive factor by random, which analyzed degree distribution as well as the range of significant influence to degree distribution. The results of computer simulation were in concordance with the theoretical analysis. It is a scale-free networks. The new networks well and has application value. model could reflect some important characters of actual