加权方式对网络同步能力的影响  

Effect of weighted scheme on synchronizability based on different network structures

作　　者：王丹[1] 井元伟[2] 郝彬彬[2] 

机构地区：[1]沈阳大学装备制造综合自动化重点实验室,沈阳110044 [2]东北大学信息科学与工程学院,沈阳110004

出　　处：《物理学报》2012年第17期144-150,共7页Acta Physica Sinica

基　　金：国家自然科学基金青年科学基金(批准号:61104029)资助的课题~~

摘　　要：针对真实网络中权值与端点度的相关特性,提出了一种与始点和终点的度都相关的非对称加权方式.在不同的网络结构下研究加权方式对同步能力的影响.研究发现网络异质性越强时,通过调节网络权值改变网络同步能力的效果越显著,而网络越匀质时,调节权值的方式改变网络同步能力的效果越不明显.仿真实验显示无论在小世界网络还是无标度网络中,网络都是在节点的输入强度为1处获得最优的同步能力.Motivated by the observations that the weight of a link in realistic networks is strongly correlated with the product of the cor-responding degrees, we present an asymmetrical weighted scheme relating to the degrees of starting point and terminal point, and investigate the effects of weighted scheme on synchronizability in light of different network structures. The results show that the more heterogeneous the degree distribution of network, the more remarkable the effect on enhanced synchronizability by the weighted method is. However, there is little effect on enhanced synchronizability by the weighted method for the homogeneous random network. It is shown that no matter whether small world networks or scale-free networks, the synchronizability is maximal when the total strength of all in-links of every node is equal to one.

关 键 词：同步优化 同步能力 小世界网络 无标度网络 

分 类 号：O157.5[理学—数学] O231[理学—基础数学]