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Construction principles for highly synchronizable sparse directed networks

Construction principles for highly synchronizable sparse directed networks
Construction principles for highly synchronizable sparse directed networks
In this Letter sparse directed interaction networks of heterogeneous Kuramoto oscillators that give rise to enhanced synchronization properties are generated and analyzed. The particular networks, which allow for the transition to full synchronization for the smallest coupling strength, i.e., optimal networks, are found to be very homogeneous in the in-degree distribution, but exhibit very skewed out-degree distributions. Various correlations between in- and out-degree structure, oscillator heterogeneity and component structure, which are linked to an enhanced synchronizability, are discussed.
0375-9601
5305-5308
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7

Brede, Markus (2008) Construction principles for highly synchronizable sparse directed networks. Physics Letters A, 372 (32), 5305-5308.

Record type: Article

Abstract

In this Letter sparse directed interaction networks of heterogeneous Kuramoto oscillators that give rise to enhanced synchronization properties are generated and analyzed. The particular networks, which allow for the transition to full synchronization for the smallest coupling strength, i.e., optimal networks, are found to be very homogeneous in the in-degree distribution, but exhibit very skewed out-degree distributions. Various correlations between in- and out-degree structure, oscillator heterogeneity and component structure, which are linked to an enhanced synchronizability, are discussed.

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Published date: August 2008
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 272849
URI: https://eprints.soton.ac.uk/id/eprint/272849
ISSN: 0375-9601
PURE UUID: 8e05aa84-68aa-4528-9cb5-fa174c7c8e9a

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Date deposited: 26 Sep 2011 15:57
Last modified: 11 Nov 2017 10:55

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Author: Markus Brede

University divisions

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