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

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

2002-04-25

arxiv.org/abs/cond-mat/0204562v5

Physica A 325 (2003) 561-569

Physics

Condensed Matter

Disordered Systems and Neural Networks

10 pages, 5 figures. Version accepted for publication in Physica A

Scientific paper

10.1016/S0378-4371(03)00147-X

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.

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