Numerical Simulations of a Spherically Symmetric Yang-Mills system on a   de Sitter Manifold
  In this paper we discuss the dynamics of the cosmological Bartnick-McKinnon analogue with $n=1$ and $\Lambda=\Lambda_{reg}(n)$ . We derive boundary conditions from energy considerations. Numerical simulations are carried out to show the existence of a non-stationary solution. 
H. Lux, K. Johannsen