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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

The Effects of Structural Perturbations on the Synchronizability of Diffusive Networks

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Author(s):
Poignard, Camille [1, 2, 3] ; Pade, Jan Philipp [4] ; Pereira, Tiago [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP - Brazil
[2] Univ Exeter, Dept Math, Exeter EX4 4QF, Devon - England
[3] Univ Exeter, EPSRC Ctr Predict Modelling Healthcare, Exeter, Devon - England
[4] Humboldt Univ, Inst Math, Berlin - Germany
Total Affiliations: 4
Document type: Journal article
Source: JOURNAL OF NONLINEAR SCIENCE; v. 29, n. 5, p. 1919-1942, OCT 2019.
Web of Science Citations: 2
Abstract

We investigate the effects of structural perturbations on the networks ability to synchronize. We establish a classification of directed links according to their impact on synchronizability. We focus on adding directed links in weakly connected networks having a strongly connected component acting as driver. When the connectivity of the driver is not stronger than the connectivity of the slave component, we can always make the network strongly connected while hindering synchronization. On the other hand, we prove the existence of a perturbation which makes the network strongly connected while increasing the synchronizability. Under additional conditions, there is a node in the driving component such that adding a single link starting at an arbitrary node of the driven component and ending at this node increases the synchronizability. (AU)

FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC