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

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dc.creatorWakeling, Joseph
dc.date2002-04-25
dc.date2003-02-18
dc.date.accessioned2026-07-07T02:45:13Z
dc.date.available2026-07-07T02:45:13Z
dc.descriptionWe 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.
dc.description10 pages, 5 figures. Version accepted for publication in Physica A
dc.identifierhttps://arxiv.org/abs/cond-mat/0204562
dc.identifierhttp://arxiv.org/abs/cond-mat/0204562
dc.identifierPhysica A 325 (2003) 561-569
dc.identifierdoi:10.1016/S0378-4371(03)00147-X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19221
dc.subjectDisordered Systems and Neural Networks
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectBiological Physics
dc.subjectNeurons and Cognition
dc.titleOrder-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry
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