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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."
altloc:
- http://dx.doi.org/10.1016/S0378-4371(03)00147-X
- http://arxiv.org/abs/cond-mat/0204562
chapter: ~
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creators_id:
- JWakeling
creators_name:
- family: Wakeling
given: Joseph
honourific: ''
lineage: ''
date: 2003-07
date_type: published
datestamp: 2003-09-19
department: ~
dir: disk0/00/00/31/52
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eprint_status: archive
eprintid: 3152
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full_text_status: public
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keywords: Phase transitions; Neural networks; Neuroscience
lastmod: 2011-03-11 08:55:20
latitude: ~
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metadata_visibility: show
note: Published in Physica A 325 (2003) 561-569.
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referencetext: |
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relation_type: []
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reportno: ~
rev_number: 14
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status_changed: 2007-09-12 16:48:38
subjects:
- neuro-mod
- comp-sci-neural-nets
succeeds: ~
suggestions: ~
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title: Order-disorder transition in the Chialvo-Bak `minibrain' controlled by network geometry
type: preprint
userid: 4290
volume: ~