Network structural origin of instabilities in large complex systems

Autor:	Duan, Chao, Nishikawa, Takashi, Eroglu, Deniz, Motter, Adilson E.
Rok vydání:	2022
Předmět:	Nonlinear Sciences - Adaptation and Self-Organizing Systems Condensed Matter - Disordered Systems and Neural Networks Electrical Engineering and Systems Science - Systems and Control Mathematics - Dynamical Systems Quantitative Biology - Molecular Networks
Zdroj:	Science Advances 8, eabm8310 (2022)
Druh dokumentu:	Working Paper
DOI:	10.1126/sciadv.abm8310
Popis:	A central issue in the study of large complex network systems, such as power grids, financial networks, and ecological systems, is to understand their response to dynamical perturbations. Recent studies recognize that many real networks show nonnormality and that nonnormality can give rise to reactivity--the capacity of a linearly stable system to amplify its response to perturbations, oftentimes exciting nonlinear instabilities. Here, we identify network structural properties underlying the pervasiveness of nonnormality and reactivity in real directed networks, which we establish using the most extensive data set of such networks studied in this context to date. The identified properties are imbalances between incoming and outgoing network links and paths at each node. Based on this characterization, we develop a theory that quantitatively predicts nonnormality and reactivity and explains the observed pervasiveness. We suggest that these results can be used to design, upgrade, control, and manage networks to avoid or promote network instabilities. Comment: Includes Supplementary Materials
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2207.07680 Zobrazit plný text záznamu View this record from Arxiv