Research Of Vicsek Model With A System Of Self-driven Agents

Collective dynamics has been considered as an important approach for describing and understanding collective motions. In nature, collective motions of abundant organisms universally exist in biological flocks,swarms,schools, ranging from the behavior of groups of ants, colonies of bacteria and clusters of cells in the microcosmic scale, to migration of flocks of birds and schools of fish in the macroscopical scale. These different forms of collective behavior root in the different kinds of interactions among group members, and hence the investigation on the inter-individual interactions among self-driven swarms has attracted more and more attention among physicists, biologists, as well as social and systems scientists. Its value is to extract some generic rules from those natural systems, and apply them in other relevant industrial application realms, such as sensor network data fusion, load balancing, swarms/flocks, unmanned air vehicles (UAVs), attitude alignment of satellite clusters, congestion control of communication networks, multi-agent formation control, and so on.The ultimate goal of studying collective dynamics is two-fold: (i) examine the nature of such collective behaviors among bio-groups; (ii) understand the nature of collective behaviors and apply them in other field. The synchronization of collective motion is an important issue. With the advent of large computers, the field of collective dynamics has been dominated by numerical models. The typical models are Vicsek Model,Three-Circle Model,Leader-follower Model etc. In this paper, the main job is research on the various studies based on the Vicsek Model in recent years. Generally speaking, all research methods can be divided into two categories: from theory to the actual situation and from the actual situation to the theoretical research. The former is derived through the theory and tries to understand and explain the nature of collective motion. In the latter case, physicist is modeling the collective phenomenon to find the law of collective motions. Here, we adopt the latter method and propose a new model with the restricted vision and find that there exists an optimal view angle.In this paper, we have studied the effects of restricted vision of a group of self-propelled agents. The field of vision of every agent is only a sector of disc and the included arc represents the view angle. It is interesting to find that there exists an optimal angle resulting in the fastest direction consensus. The value of the optimal view angle increases as the increasing of sensor radius, while decreases as the increasing of swarm number, the absolute velocity or the noise strength. Another interesting phenomenon is that agents with optimal view angle have the least number of neighbors in the steady state. Our studies indicate the existence of superfluous communications in the Vicsek model, which indeed hinder the direction consensus. Moreover, our results may be useful in designing the man-made swarms such as autonomous mobile robots.