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Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry

Wakeling, Joseph (2003) Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry. [Preprint]

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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.

Item Type:Preprint
Additional Information:Published in Physica A 325 (2003) 561-569.
Keywords:Phase transitions; Neural networks; Neuroscience
Subjects:Neuroscience > Neural Modelling
Computer Science > Neural Nets
ID Code:3152
Deposited By:Wakeling, Joseph
Deposited On:19 Sep 2003
Last Modified:12 Sep 2007 17:48

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