Collective motions of animals

Title: Collective motion of animals

Background :From bird flocks to fish schools, from insect flights to cell movements during embryogenesis, from pedestrian motions to robotics, collective motion is ubiquitous in many natural and artificial systems. This is a fascinating phenomenon that reflects the ability of the nature to create complexity. The main question is to determine what are the mechanisms regulating collective motion and whether those mechanisms are as complex as what we can observe in natural systems.

Goal :The goal of this project is to implement a simple model of collective behavior, run simulations and generate data. From this synthetic data we aim to investigate the properties of the motion and the robustness of the collective dynamics with respect to endogenous and exogenous perturbations.

Tools : Stochastic modeling, equations of motion, diffusion equations, shape analysis