title: Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry creator: Wakeling, Joseph subject: Neural Modelling subject: Neural Nets description: We 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. date: 2003-07 type: Preprint type: PeerReviewed format: application/pdf identifier: http://cogprints.org/3152/1/phase-mb-physa_final.pdf format: application/postscript identifier: http://cogprints.org/3152/2/phase-mb-physa_final.ps identifier: Wakeling, Joseph (2003) Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry. [Preprint] relation: http://cogprints.org/3152/