The Yellow Vests Movement - a case of long transient dynamics?
Understanding the dynamics of protests and social unrest is important in order to ensure a stable, sustainable development of the society. Mathematical models of social dynamics have been increasingly recognised as a powerful research tool in achieving this goal. Here, motivated by the fact that the dynamics of the ongoing Yellow Vest Movement in France exhibit anomalously long duration (currently it is in 30th week), we explore whether this can be a result of a dynamical systems phenomenon known as long transients. To this end, we build and study a hierarchy of mathematical models describing the "population dynamics" of the movement, i.e. how the number of protesters changes with time. We show that in these models long transients appear via two roots: via a ghost attractor and via an interaction of the slow and fast dynamics. We demonstrate that long transients are also present in some earlier models of social protests. Interestingly, our models predict that the Yellow Vest Movement should end abruptly by, at the latest, mid-summer 2019 without any interference from the French government. More generally, we argue that long transients are a generic feature of dynamical models describing social processes in the same way as they are in models of physical, ecological, and evolutionary systems.