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International Journal for Uncertainty Quantification

Published 6 issues per year

ISSN Print: 2152-5080

ISSN Online: 2152-5099

The Impact Factor measures the average number of citations received in a particular year by papers published in the journal during the two preceding years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) IF: 1.7 To calculate the five year Impact Factor, citations are counted in 2017 to the previous five years and divided by the source items published in the previous five years. 2017 Journal Citation Reports (Clarivate Analytics, 2018) 5-Year IF: 1.9 The Immediacy Index is the average number of times an article is cited in the year it is published. The journal Immediacy Index indicates how quickly articles in a journal are cited. Immediacy Index: 0.5 The Eigenfactor score, developed by Jevin West and Carl Bergstrom at the University of Washington, is a rating of the total importance of a scientific journal. Journals are rated according to the number of incoming citations, with citations from highly ranked journals weighted to make a larger contribution to the eigenfactor than those from poorly ranked journals. Eigenfactor: 0.0007 The Journal Citation Indicator (JCI) is a single measurement of the field-normalized citation impact of journals in the Web of Science Core Collection across disciplines. The key words here are that the metric is normalized and cross-disciplinary. JCI: 0.5 SJR: 0.584 SNIP: 0.676 CiteScore™:: 3 H-Index: 25

Indexed in

EXPLOSIVE SYNCHRONIZATION OF COMBINATIONAL PHASES ON RANDOM MULTIPLEX NETWORKS

Volume 6, Issue 2, 2016, pp. 99-108
DOI: 10.1615/Int.J.UncertaintyQuantification.2016017051
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ABSTRACT

The coherent dynamics of a large ensemble of interconnected dynamical units can be characterized by the synchronization process of coupled oscillators. In many real situations, each unit, in the meantime, may exist in multilayer networks, where the composite state of the unit can be determined by the corresponding states on each layer. In this paper, a combinational phase is introduced to describe the joint action of several phases. The combinational phase is a linear superposition of the phase in each layer with a coupling parameter, in the same manner as the generation of voltage from electricity and resistance when applying the phaser method. We study the dynamics of combinational phases by applying the Kuramoto model on multiplex networks, in which the weight of each layer affecting the combinational phase is controlled by a coupling parameter. An abrupt transition is found to emerge in the synchronization of combinational phases by adjusting the coupling parameter. We also show that phases of oscillators in each single layer remain incoherent while the combinational ones are fully synchronized. Theoretical analysis of this explosive transition is studied on a multiplex network, of which one layer is a star network, and the other is a fully connected one. Our findings provide a first understanding of the explosive critical phenomena of combinational phases on multiplex networks.

CITED BY
  1. D'Souza Raissa M., Gómez-Gardeñes Jesus, Nagler Jan, Arenas Alex, Explosive phenomena in complex networks, Advances in Physics, 68, 3, 2019. Crossref

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