Research On Hybrid Synchronization Of Multiple Chaotic Systems On Complex Network

The complex network is the interdisciplinary science, which has obtained wide attention, especially in biology, engineering and social research fields etc. From fireflies flashing to fireflies group synchronously flashing in the early summer nights, from individual audience applauding to all audience synchronously applauding in the screen, from single note playing to multiple notes playing wonderful music at the same time, it can be concluded the research of individual group behavior, namely the research of complex network synchronization, has became a hot topic on the internet. In other words, the individual group behavior has investigation. Currently, companied with the technological quick development, the research level of complex network became deeper, and has gradually constituted more adequate theoretical frameworks. Besides, scholars have fully used complex network theories to investigate complex synchronous issues. Accompanying with the complex network theory’s maturation and continues development, researchers have deeply studied the complex network synchronization issues by applying complex network theory. Firstly, they study the complex network nodes synchronization by node spreading dynamic system, and then design a controller to regulate the internet node to achieve synchronization. Nowadays, more and more scholars devoted to studying the complex network synchronization, and constituted suitable complex network transmission dynamic for different complex network, such as the drive- response system of power system, time–delay dynamic system and discrete dynamic system, etc. Meanwhile, scholars propose different control strategies, such as pining control strategy, self-adaptive control strategy and pulse control strategy. Although it has taken several decades to research and obtain numerous analyzing achievement in the complex network, in addition to, the basic complex networks analyzing theoretical frameworks in different areas has been set up and the related analysis, whether the topological structure influent the ability of realizing networks synchronization, has made great progress. There are still many problems had been solved and deeply researched. In this article, we achieve the network synchronization by applying mathematics theory deduction and computer simulation combining method and using control strategy to design a controller. The main research work in this dissertation includes two sides:The real network nodes are always interfered by other messages. Thus, how to realize the hybrid synchronization of two independent chaotic systems based on the complex network is very important. To solve the problem, there are two problems should be considered. One is how the same network node of the complex network was affected by the different information sources. Another is how to achieve hybrid synchronization on the network. In this paper, the theoretical analysis and numerical simulation on various complex networks are implemented. The results indicate that the hybrid synchronization of two independent chaotic systems is feasible.For researching the hybrid synchronization of heterogeneous chaotic systems on the complex dynamic network, there are two important issues to be discussed and analyzed. One is how to build a dynamic complex network which the connection between nodes is dynamic. Another is comparing and analyzing the heterogeneous chaotic systems synchronization characteristics of dynamic and static complex network. In this paper, the theoretical analysis and numerical simulation on different dynamic and static complex networks are implemented. The results indicate that the hybrid synchronization of heterogeneous chaotic systems on the complex dynamic network is feasible.