In this chapter we present the different ways in which mathematicians think about group formation and group behaviour. We provide an overview of the frameworks that have been borrowed from Physics and discuss their appropriateness and limitations when applied to groups such as a flock of birds. With a focus at the the level of local behaviour and global results, we explore the origin of flocking models that paved the way for studying some of the most fascinating phenomena and hottest topics of the last few decades self organisation, emergence and coherent collective motion. We then outline the standard approach for model formulation and analysis with two key stages in mind: grouping and flocking - usually treated quite separately in the literature. That is, how do individual motivations drive aggregation of particles to groups, and then how do these groups generate coordinated collective motion. Finally we hint at future work that aims to amalgamate these two stages with a single model.
|Name||Nonlinear Systems and Complexity|
|Publisher||SPRINGER INTERNATIONAL PUBLISHING AG|