Open AccessHidden early-warning signals in scale-free networks
Author(s) -
Georg Jäger,
Christian Höfer,
Marie Lisa Kogler,
Manfred Füllsack
Publication year - 2017
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0189853
Subject(s) - warning system , topology (electrical circuits) , computer science , complex network , network topology , complex system , state (computer science) , scale (ratio) , scale free network , transformation (genetics) , transition (genetics) , statistical physics , artificial intelligence , physics , mathematics , biology , computer network , telecommunications , algorithm , biochemistry , combinatorics , quantum mechanics , world wide web , gene
Critical transitions of complex systems can often be predicted by so-called early-warning signals (EWS). In some cases, however, such signals cannot be detected although a critical transition is imminent. Observing a relation of EWS-detectability and the network topology in which the system is implemented, we simulate and investigate scale-free networks and identify which networks show, and which do not show EWS in the framework of a two state system that exhibits critical transitions. Additionally, we adapt our approach by examining the effective state of the system, rather than its natural state, and conclude that this transformation can reveal hidden EWS in networks where those signals are otherwise obscured by a complex topology.