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Optimal synchronization on strongly connected directed networks

Optimal synchronization on strongly connected directed networks
Optimal synchronization on strongly connected directed networks
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.
1434-6028
217-225
Brede, M.
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Brede, M.
bbd03865-8e0b-4372-b9d7-cd549631f3f7

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

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Abstract

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.

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Published date: March 2010
Organisations: Agents, Interactions & Complexity

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Local EPrints ID: 272854
URI: http://eprints.soton.ac.uk/id/eprint/272854
ISSN: 1434-6028
PURE UUID: 49778487-5777-4321-a532-083521b4cbcf

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Date deposited: 26 Sep 2011 16:12
Last modified: 19 Jul 2019 22:07

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Author: M. Brede

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