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Scale-Free topologies and Activatory-Inhibitory interactions

2004/04/30 by J. Gómez-Gardeñes, Jesus Gomez-Gardenes, Yamir Moreno +3 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Complex Network Analysis Techniques #Gene Regulatory Network Analysis #Opinion Dynamics and Social Influence #cond-mat.stat-mech #q-bio.MN

paper · pdf · doi:10.1063/1.2146115

published as Chaos (Focus Issue), 16, 015114 (2006) · Revtex style, 12 pages and 12 figures. Enlarged manuscript with major revision and new results incorporated. To appear in Chaos (2006)

arxiv created 2006/01/19 · openalex publication_date 2006/03/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A simple model of activatory-inhibitory interactions controlling the activity of agents (substrates) through a "saturated response" dynamical rule in a scale-free network is thoroughly studied. After discussing the most remarkable dynamical features of the model, namely fragmentation and multistability, we present a characterization of the temporal (periodic and chaotic) fluctuations of the quasi-stasis asymptotic states of network activity. The double (both structural and dynamical) source of entangled complexity of the system temporal fluctuations, as an important partial aspect of the Correlation Structure-Function problem, is further discussed to the light of the numerical results, with a view on potential applications of these general results.

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