Swarm dynamics, attractors and bifurcations of active Brownian motion
Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, 12489 Berlin, Germany
We apply the model of active Brownian dynamics to describe the motion of swarms of animals. The interaction between the objects is described by simple models. First we apply the model of a rigid body which reduces the dynamics to a one-body problem. Next we treat the model of global coupling. It is shown that then the problem is reduced to a center of mass and relative motion problem, i.e. effectively to a two-body problem. The attractors corresponding to translational and rotational motions of the swarm are identified. The dynamic and stochastic bifurcations between the rotational and translational modes are analyzed.
© EDP Sciences, Springer-Verlag, 2008