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研究了一个介于BA无标度网络和ER随机网络之间的复杂网络家族的结构与同步能力。结果表明,在平均度保持不变的情况下,随着随机连接概率的增大,该网络家族的度分布趋于均匀,平均最短距离缓慢增大,簇系数缓慢减小,对于同步稳定区域无界的动力学系统,网络家族的同步能力基本保持不变,而对于同步稳定区域有界的动力学系统,网络家族的同步能力则逐步提高,并与度分布的标准差成线性关系。有助于理解网络结构对同步能力的影响,且对如何提高网络的同步能力有一定的指导意义。
We study the structure and synchronization of a complex network family between BA scale-free network and ER stochastic network. The results show that, with the average degree remaining the same, with the increase of the probability of random connection, the degree distribution of the network family tends to be uniform, the average shortest distance increases slowly, the cluster coefficient decreases slowly, , The synchronization ability of the network family remains unchanged. For the dynamical system with bounded synchronous stable region, the synchronization ability of the network family is gradually increased, which is linear with the standard deviation of the degree distribution. It helps to understand the impact of network structure on synchronization capabilities and has some guiding significance on how to improve the network synchronization capabilities.