Robustness to noise in synchronization of complex networks

被引：25

作者：

Buscarino, Arturo ^{[1
]}

Gambuzza, Lucia Valentina ^{[1
]}

Porfiri, Maurizio ^{[2
]}

Fortuna, Luigi ^{[1
]}

Frasca, Mattia ^{[1
]}

机构：

[1] Univ Catania, DIEEI, I-95125 Catania, Italy

[2] NYU, Polytech Inst, Dept Mech & Aerosp Engn, Brooklyn, NY 11201 USA

来源：

SCIENTIFIC REPORTS | 2013年 / 3卷

基金：

美国国家科学基金会;

关键词：

STABILITY; INTERNET;

D O I：

10.1038/srep02026

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this report, we investigate dynamical robustness of a complex network to noise injected through one of its nodes. We focus on synchronization of coupled nonlinear systems and, as a special instance, we address the classical consensus protocol for linear integrators. We establish an exact closed-form expression of the synchronization error for the consensus protocol and an approximate result for chaotic units. While structural robustness is known to be significantly affected by attacks targeted to network hubs, our results posit that dynamical robustness is controlled by both the topology of the network and the dynamics of the units. We provide examples where hubs perform better or worse than isolated nodes.

引用

页数：6

共 29 条

[11] Resilience of the Internet to random breakdowns [J].