Order–disorder transition in the Chialvo–Bak ‘minibrain’ controlled by network geometry

Joseph Wakeling

Physica A: Statistical Mechanics and its Applications, 2003, vol. 325, issue 3, 561-569

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.

Keywords: Phase transitions; Neural networks; Neuroscience (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:325:y:2003:i:3:p:561-569

DOI: 10.1016/S0378-4371(03)00147-X

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