Perturbative Expansion of the Fundamental Equation of Online User Dynamics for Describing Changes in Eigenfrequencies

Naoki Hirakura, Masaki Aida
2021 IEEE Access  
The oscillation model has been proposed as a theoretical framework for describing user dynamics in online social networks. This model can represent the user dynamics generated by a particular network structure and allow its causal relationships to be explicitly described. In this paper, by applying perturbation theory to the fundamental equation of the oscillation model, we confirm that we can explicitly trace, at least in principle, the changes in user dynamics associated with changes in the
more » ... twork structure. Specifically, we formulate perturbative expansions up to infinite order, by drawing on inferences from regularities found in perturbative expansions; the accuracy of perturbative expansions of finite order is evaluated by numerical experiments. INDEX TERMS Online social network, perturbation theory, hypergeometric series.
doi:10.1109/access.2021.3119364 fatcat:22fbt5jbuneptn3rwkxy546j3u