Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry
Abstract
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.
Cite
@article{arxiv.cond-mat/0204562,
title = {Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry},
author = {Joseph Wakeling},
journal= {arXiv preprint arXiv:cond-mat/0204562},
year = {2007}
}
Comments
10 pages, 5 figures. Version accepted for publication in Physica A