Fractional Dynamics of Network Growth Constrained by Aging Node Interactions.

ABSTRACT: In many social complex systems, in which agents are linked by non-linear interactions, the history of events strongly influences the whole network dynamics. However, a class of "commonly accepted beliefs" seems rarely studied. In this paper, we examine how the growth process of a (social) network is influenced by past circumstances. In order to tackle this cause, we simply modify the well known preferential attachment mechanism by imposing a time dependent kernel function in the network evolution equation. This approach leads to a fractional order Barabási-Albert (BA) differential equation, generalizing the BA model. Our results show that, with passing time, an aging process is observed for the network dynamics. The aging process leads to a decay for the node degree values, thereby creatin

SUBMITTER: Safdari H 

PROVIDER: S-EPMC4865103 | biostudies-literature | 2016

REPOSITORIES: biostudies-literature