Study On Synchronization Of The Complex Dynamical Network Systems And Applications

The rapid progress of today’s society cannot be achieved without powerful forces of technological development that unlock new and unknown potential applications of technology.In the era of Industry 4.0,machines and objects are "intelligent".They can not only communicate with each other,but also communicate with people to realize the interconnection between people and machines,forming an unprecedented super network.Whether in mechanical production or in daily life,there are various complex networks,such as the neural network formed by a large number of nerve cells connected by nerve fibers.The computer through the communication medium such as optical cable,twisted pair,coaxial cable and other connected to form a computer network.Intelligent transportation network based on cloud computing platform.The use of mobile phone and other products client remote operation of smart home.Any individual cannot be separated from the surrounding relationship.If analyzed from the perspective of mathematical models,all complex systems can be represented by complex networks,which are closely connected with our lives.Nowadays,complex network synchronization research occupies a very important position in many fields because of its great significance and application value.There is a rich dynamic such as bifurcation,chaos,and oscillation,and we found that synchronization phenomenon plays a vital role in complex network research.This article discusses discussions on complex network synchronization.First,the kinetic characteristics of complex networks and some important concepts are introduced,and several common network models and their synchronization characteristics are analyzed.At the same time,the difference of synchronization objects in different production processes is considered,and the work on synchronization is synchronized by chaotic systems to synchronize,inter-network synchronization,and multi-layer network synchronization.On this basis,research discusses the double-layer network synchronous control and related issues.Firstly,the synchronization of two-layer networks with time delay and noise disturbance is studied.For a two-layer complex network with unidirectional coupling between layers,the corresponding nodes are called response layer and driver layer,respectively.The number of nodes in driver layer and response layer is the same and one to one.The main implementation method is based on La Salle invariance principle and Lipschitz condition,an adaptive control technique is proposed,and sufficient conditions are given to realize peer synchronization in a two-layer network.In the case of time delay and noise disturbance,the synchronization between the driver layer and the response layer is realized.Secondly,the synchronization of a network composed of Chaos circuits as node equations is analyzed.According to the adaptive synchronization control method,the synchronization between the Chaos system and the Chaos network is realized.Finally,this paper summarizes the work,we study found that compared with the singlelayer network,multilayer network it is more complex,the dynamic characteristics of the synchronization more difficult,but the topology contains the edge and the node heterogeneity,more in line with the research results can be obtained with the reality network,thus it can be seen in multilayer network synchronization control research is necessary.In the following research,we will focus on the complex system different from the actual production process,establish a reasonable complex network model,and continue to explore the dynamic characteristics of the intelligent network in the intelligent era,so as to better solve the practical problems in reality.