The Effects of Structural Perturbations on the Synchronizability of Diffusive Networks

Autor(es)

Poignard, Camille ^{[1, 2, 3]} ; Pade, Jan Philipp ^[4] ; Pereira, Tiago ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: JOURNAL OF NONLINEAR SCIENCE; v. 29, n. 5, p. 1919-1942, OCT 2019.
• Citações Web of Science: 2

Resumo

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)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: Francisco Louzada Neto
• Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs