Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:A3L-B
Session:
Number:A3L-B-2
Relations Between Early-Warning Signals Based on Dynamical Network Markers and Network Structures
Tadayoshi Matsumori, Makito Oku, Kazuyuki Aihara,
pp.229-232
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
Early-warning signals for critical transitions have been studied in many types of complex systems. For complex systems with network structures, an indicator based on the dynamical network markers (DNM) was proposed. In this paper to understand the features of the DNM-based indicator with respect to network structures (a small-world network, a scale-free network and a spatial network), we detect the early-warning signals of a mathematical model with the network exhibiting a bifurcation using the DNM-based indicator. Through the numerical experiments, we clarify that the DNM-based indicator can detect the early-warning signals in all of the network structures we investigated.