Scale-Free topologies and Activatory-Inhibitory interactions

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.

Revtex style, 12 pages and 12 figures. Enlarged manuscript with major revision and new results incorporated. To appear in Chaos (2006)

References in corpus (8)

• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• The large-scale organization of metabolic networks
• Mean-field theory for scale-free random networks
• Dynamics of jamming transitions in complex networks
• Efficiency and reliability of epidemic data dissemination in complex networks
• Distance-d covering problems in scale-free networks with degree correlations
• Michaelis-Menten Dynamics in Complex Heterogeneous Networks

Cited by in corpus (3)

• Robustness of Cooperation in the Evolutionary Prisoner's Dilemma on Complex Networks
• Synchronizability determined by coupling strengths and topology on Complex Networks
• Regulatory Dynamics on Random Networks: Asymptotic Periodicity and Modularity