The effects of structural perturbations on the synchronizability of diffusive networks
File(s)
Published version
Author(s)
Poignard, Camille
Pade, Jan Philipp
Pereira, Tiago
Type
Journal Article
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.
Date Issued
2019-10
Date Acceptance
2019-01-28
Citation
Journal of Nonlinear Science, 2019, 29 (5), pp.1919-1942
ISSN
0938-8974
Publisher
Springer Verlag
Start Page
1919
End Page
1942
Journal / Book Title
Journal of Nonlinear Science
Volume
29
Issue
5
Copyright Statement
© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000486302000003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Technology
Mathematics, Applied
Mechanics
Physics, Mathematical
Mathematics
Physics
Ordinary differential equations
Synchronization
Stability theory
Phase transitions
Perturbations
Graphs and linear algebra
Network models
deterministic
PARKINSONS-DISEASE
STABILITY
SPECTRA
Publication Status
Published
Date Publish Online
2019-03-06