Nonlinear Dynamics of Active Brownian Particles

We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for $1-d$ systems of masses connected by Toda springs which are imbedded into a heat bath. Including negative friction we find $N+1$ attractors of motion including an attractor describing dissipative solitons. Noise leads to transition between the deterministic attractors. In the case of two-dynamical motion of interacting particles angular momenta are generated and left/right rotations of pairs and swarms are found.