2003-09-19Z2011-03-11T08:55:20Zhttp://cogprints.org/id/eprint/3152This item is in the repository with the URL: http://cogprints.org/id/eprint/31522003-09-19ZOrder-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometryWe examine a simple biologically-motivated neural network, the three-layer version of the Chialvo-Bak `minibrain' [Neurosci. 90 (1999) 1137], and present numerical results which indicate that a non-equilibrium phase transition between ordered and disordered phases occurs subject to the tuning of a control parameter. Scale-free behaviour is observed at the critical point. Notably, the transition here is due solely to network geometry and not any noise factor. The phase of the network is thus a design parameter which can be tuned. The phases are determined by differing levels of interference between active paths in the network and the consequent accidental destruction of good paths.Joseph WakelingJWakeling