A Research Of Complex Networks’ Modeling And Behavior Spread

In recent years, as an important research method of complex systems, complexnetworks attracted widespread attention and become a hot research in many areas.There are a lot of complex systems in the real world, such as social relation systems,biological neural networks systems, computer networks systems, communicationnetworks systems, transportation systems and so on. All of these complex systems canbe described and studied by complex networks. Then, faced with all kinds of complexsystems in the real world, how to build an appropriate complex network model todescribe of these complex systems, and conduct the further study of the topologicalproperties of the network through the network model, as well as the research of thedynamical evolution of behavior on the network, become the main content of thecomplex network research. It has important practical significance for us making amore in-depth understanding of the reality of complex systems, and better design,control and management of the complex systems.This article focuses on the study of complex network modeling based on a class ofrandom number sequence and the behavior dissemination on complex networks,details are as follows.One of the main content of this paper is the study of the complex network modelbased on Logistic mapping. With the rapid development of multimedia and networktechnology, digital image become the main way of people’s communicating. Toensure its security, people started to study the digital encryption technology that basedon Logistic mapping. In this paper, we use Logistic mapping and the top integralfunction to generate a random sequence of integers, and construct network inaccordance with nodes’ adjacent relationships in the sequence. Research shows thatthe value of Logistic parameters have a great impact on the connectivity of thenetwork, the greater its value is, the better the network’s connectivity is, and thedegree distribution presents the characteristics of the power-law distribution. Thesefindings help us better understand the intrinsic nature of the Logistic mapping, and wehope that the research can provide some help for the development of secureencryption technology.Another main content of this paper is the research of the dissemination rules of university students’ amative behavior on campus network. Currently, the exploring ofthe propagation of human behavior on social networks has become a hot topic and hasgreat significance. In this paper, we analyze the characteristics of amative behaviorpropagation through the study of the influence extent of amative nodes and the beinginfluenced extent of non-love nodes, and the research shows that both of them presenta rising trend over time. Meanwhile, we find that the neighbors’ structural diversity ofnon-love nodes plays an important role in the amative behavior dissemination processon campus network. Namely, in the social network, whether a node conducts a certainbehavior’s dissemination, is closely related to the structure diversity of its neighbornodes. I hope that this study can provide scientific advice and guidance on theideological education of students at various stages.