Investigation on visualization, analysis, and control of complex networks dynamics

Abstract

In this article the authors discuss a new method of the so-called complex networks dynamics and its visualization by means of so called coupled map lattices method. The main aim of this article is to investigate whether it is possible to visualize complex network dynamics by means of the same method that is used to model spatiotemporal chaos. The authors suggest using coupled map lattices system to simulate complex network so that each site is equal to one vertex of complex network. Interaction between network vertices is in coupled map lattices equal to the strength of mutual influence between system sites. To promote their ideas, two kinds of complex networks dynamics has been selected for visualization, i.e., network with increasing number of vertices and network with constant number of vertices. All results have been properly visualized and explained.