Before revision:  Here we study SOC in an adaptive network considered first by Bornholdt and Rohlf PRL, 84(26), p.6114-6117, 2000 . We focus on the important convergence to criticality and discover time-scale and noise optimal behaviour as well as a noise-induced phase transition .
After revision:  Here we study SOC in an adaptive network considered first by Bornholdt and Rohlf PRL, 84(26), p.6114-6117, 2000 . We focus on the important convergence to criticality and demonstrate that noise and time-scale and noise optimal behaviour as well as a noise-induced phase transition .