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- Title
Dynamics of threshold network on non-trivial distribution degree.
- Authors
Nakamura, I.
- Abstract
The dynamics of a threshold network (TN) with thermal noise on scale-free, random-graph, and small-world topologies are considered herein. The present analytical study clarifies that there is no phase transition independent of network structure if temperature T = 0, threshold h = 0 and the probability distribution degree P(k) satisfies P(0) = D = 0. The emergence of phase transition involving three parameters, T, h and D is also investigated. We find that a TN with moderate thermal noise extends the regime of ordered dynamics, compared to a TN in the T = 0 regime or a Random Boolean Network (RBN). A TN can be continuously reduced to an expression of RBN in the infinite T limit.
- Subjects
THRESHOLD logic; NOISE; THERMODYNAMICS; BOOLEAN algebra; TOPOLOGY
- Publication
European Physical Journal B: Condensed Matter, 2004, Vol 40, Issue 2, p217
- ISSN
1434-6028
- Publication type
Article
- DOI
10.1140/epjb/e2004-00260-4