Model of Aggregation - A Topological Approach

The aggregate motion of flocks of birds, a herd of land animals, Mexican wave forming in stadia are beautiful and nice examples of collective behaviour. The aggregation is constructed by the action of each individual, each action solely on basis of its local perception of the world. Scientists from different backgrounds have tried to model collective behaviour. Most of the models are strictly metric (based on Euclidian distance among individuals) but flocks of birds do not act on metric perception. In this paper we proposed a model based on topological perspective to construct a flock of birds with large number of individuals and checked flock’s density independent behaviour.

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