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

Joseph Wakeling
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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.

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Joseph Wakeling. 2003-02-18. Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry. https://doi.org/10.1016/s0378-4371(03)00147-x

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