The Effects of Structural Perturbations on the Synchronizability of Diffusive Networks

被引：11

作者：

Poignard, Camille ^{[1
,2
,3
]}

Pade, Jan Philipp ^{[4
]}

Pereira, Tiago ^{[3
]}

机构：

[1] Univ Exeter, Dept Math, Exeter EX4 4QF, Devon, England

[2] Univ Exeter, EPSRC Ctr Predict Modelling Healthcare, Exeter, Devon, England

[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Sao Carlos, SP, Brazil

[4] Humboldt Univ, Inst Math, Berlin, Germany

来源：

JOURNAL OF NONLINEAR SCIENCE | 2019年 / 29卷 / 05期

基金：

俄罗斯科学基金会; 英国工程与自然科学研究理事会; 欧洲研究理事会; 巴西圣保罗研究基金会;

关键词：

Ordinary differential equations; Synchronization; Stability theory; Phase transitions; Perturbations; Graphs and linear algebra; Network models; deterministic; PARKINSONS-DISEASE; STABILITY; SPECTRA;

D O I：

10.1007/s00332-019-09534-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1919 / 1942

页数：24

共 38 条

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