Structural stability of interaction networks against negative external fields

Physical Review. E
S YoonJ F F Mendes

Abstract

We explore structural stability of weighted and unweighted networks of positively interacting agents against a negative external field. We study how the agents support the activity of each other to confront the negative field, which suppresses the activity of agents and can lead to collapse of the whole network. The competition between the interactions and the field shape the structure of stable states of the system. In unweighted networks (uniform interactions) the stable states have the structure of k-cores of the interaction network. The interplay between the topology and the distribution of weights (heterogeneous interactions) impacts strongly the structural stability against a negative field, especially in the case of fat-tailed distributions of weights. We show that apart from critical slowing down there is also a critical change in the system structure that precedes the network collapse. The change can serve as an early warning of the critical transition. To characterize changes of network structure we develop a method based on statistical analysis of the k-core organization and so-called "corona" clusters belonging to the k-cores.

References

Aug 18, 1972·Nature·R M May
Aug 10, 2000·Nature·R AlbertA L Barabasi
Jul 26, 2003·Proceedings of the National Academy of Sciences of the United States of America·Jordi BascompteJens M Olesen
Mar 10, 2004·Proceedings of the National Academy of Sciences of the United States of America·A BarratA Vespignani
Sep 14, 2004·Science·Lian Pin KohVincent S Smith
Dec 24, 2004·Proceedings. Biological Sciences·Jane MemmottMary V Price
Feb 21, 2006·Physical Review Letters·S N DorogovtsevJ F F Mendes
Apr 22, 2006·Science·John N Thompson
Jun 29, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A V GoltsevJ F F Mendes
Jul 4, 2008·PLoS Biology·Patric HagmannOlaf Sporns
Feb 5, 2009·Nature Reviews. Neuroscience·Ed Bullmore, Olaf Sporns
Sep 4, 2009·Nature·Marten SchefferGeorge Sugihara
Jul 21, 2010·Proceedings of the National Academy of Sciences of the United States of America·Michael SzellStefan Thurner
Sep 28, 2010·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G J BaxterJ F F Mendes
Jul 7, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·G J BaxterJ F F Mendes
Nov 24, 2011·Physical Review Letters·Davide CellaiJames P Gleeson
Jun 9, 2012·Nature·Anthony D BarnoskyAdam B Smith
Oct 23, 2012·Science·Marten SchefferJohn Vandermeer
Jan 7, 2014·Ecology Letters·J Jelle LeverJordi Bascompte
Feb 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marius Eidsaa, Eivind Almaas
Mar 4, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·K-E LeeA V Goltsev
Jul 26, 2014·Science·Rudolf P RohrJordi Bascompte
Oct 21, 2014·Nature Communications·Hirokazu TojuJohn N Thompson
Nov 26, 2014·Proceedings of the National Academy of Sciences of the United States of America·Vasilis Dakos, Jordi Bascompte
Jan 17, 2015·BMC Bioinformatics·Joana Vieira SilvaMargarida Fardilha
Sep 28, 2017·Science Advances·Daniel H Rothman
Dec 3, 2017·Scientific Reports·János Török, János Kertész

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