Behaviour of stochastic systems derived from Cucker-Smale model

16.06.2015, 14:15-15:45  –  Am Neuen Palais, Haus 22 Raum 1.27
Forschungsseminar Wahrscheinlichkeitstheorie

Laure Pedeches (Toulouse/Potsdam)

The deterministic model introduced by Felipe Cucker and Stephen Smale represents among others, the way in which groups of autonomous agents (animals, for instance) move together. We modify it to take into account random interactions between the agents and the environment, starting from an idea presented by Ha, Lee and Levy in 2009. Our focus will be on the long-term behaviour of this system, through the use of tools such as invariant measures and Lyapunov functions. We will also look into the chaoticity of this model, when the number of components goes to infinity.