Optimal synchronization on strongly connected directed networks

Brede, M. (2010) Optimal synchronization on strongly connected directed networks. European Physical Journal B - Condensed Matter and Complex Systems, 74, (2), 217-225. (doi:10.1140/epjb/e2010-00016-7).


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In this paper we construct and analyse strongly connected sparse directed networks with an enhanced propensity for synchronization (PFS). Two types of PFS-enhanced networks are considered: (i) an eigenratio minimizing ensemble with non-vanishing complex parts of the spectrum and (ii) a class of networks with real spectrum but slightly larger eigenratios than (i). We relate the superior PFSs to a strongly skewed out-degree distribution, the density of double links and a hierarchical periphery-core organization. Ensembles (i) and (ii) are found to differ in the density of double links and the particular organization of the core and the periphery-core linkage.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1140/epjb/e2010-00016-7
ISSNs: 1434-6028 (print)
1434-6036 (electronic)
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Agents, Interactions & Complexity
ePrint ID: 272854
Accepted Date and Publication Date:
March 2010Published
Date Deposited: 26 Sep 2011 16:12
Last Modified: 31 Mar 2016 14:22
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/272854

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