Collective Motion in 3D and Hysteresis

• Main Author: Park, Jinha
• Format: Others
• Language: English
• Published: Uppsala universitet, Institutionen för informationsteknologi 2011
• Online Access: http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-156424

Many animal groups in nature exhibit collective motion, such as bird flocks and fish schools. The group's internal motion is complex and dynamic, but the group moves cohesively in the same direction. The mechanism behind this collective motion has been studied with various ways. Mathematical modeling provides powerful tools to study this. In particular, individual based, self-propelled particle (SPP) models are among the most popular. Several SPP models have been developed using different local interaction rules between each individual and its neighbours. Among them, the local attraction model is one of the simplest using only attraction as social force. This model is particularly interesting because it can produce a figure of eight pattern in two dimensional space. By studying the local attraction model, I investigate the hysteresis properties in simulated collective motions. I also extend the model to three dimensional space by including additional global attraction forces. In the three dimensional local attraction model, I find an analog of the figure of eight found in the two dimensional model as well as other types of internal dynamics. This present study demonstrates the importance of attraction as a social force and the usefulness of the local attraction model in describing collective motion both in two and three dimensions.