Collective dynamics, control and imaging

Stability of mean field model for opinion dynamics and collective motion

Josselin Garnier

École Polytechnique


In this talk, we consider two models for opinion dynamics (consensus model) and for collective motion (Czirok model). In each model, each agent's opinion or velocity locally interacts with other agents' opinions or velocities in the system. The interaction tends to create consensus convergence or alignment of collective motion. By analyzing the associated nonlinear Fokker-Planck equation, we obtain the conditions for the existence of stationary states and the conditions for their stabilities. In both cases exogenous noise stabilizes the systems. This is a joint work with G. Papanicolaou and T.-W. Yang.