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Optimal synchronization in space

Optimal synchronization in space
Optimal synchronization in space
In this Rapid Communication we investigate spatially constrained networks that realize optimal synchronization properties. After arguing that spatial constraints can be imposed by limiting the amount of “wire” available to connect nodes distributed in space, we use numerical optimization methods to construct networks that realize different trade offs between optimal synchronization and spatial constraints. Over a large range of parameters such optimal networks are found to have a link length distribution characterized by power-law tails P(l)?l??, with exponents ? increasing as the networks become more constrained in space. It is also shown that the optimal networks, which constitute a particular type of small world network, are characterized by the presence of nodes of distinctly larger than average degree around which long-distance links are centered.
1539-3755
025202-[4pp]
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7

Brede, Markus (2010) Optimal synchronization in space. Physical Review E, 81 (2), 025202-[4pp]. (doi:10.1103/PhysRevE.81.025202).

Record type: Article

Abstract

In this Rapid Communication we investigate spatially constrained networks that realize optimal synchronization properties. After arguing that spatial constraints can be imposed by limiting the amount of “wire” available to connect nodes distributed in space, we use numerical optimization methods to construct networks that realize different trade offs between optimal synchronization and spatial constraints. Over a large range of parameters such optimal networks are found to have a link length distribution characterized by power-law tails P(l)?l??, with exponents ? increasing as the networks become more constrained in space. It is also shown that the optimal networks, which constitute a particular type of small world network, are characterized by the presence of nodes of distinctly larger than average degree around which long-distance links are centered.

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

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Local EPrints ID: 272855
URI: http://eprints.soton.ac.uk/id/eprint/272855
ISSN: 1539-3755
PURE UUID: b3c6f481-8a29-4a11-9673-b38d20505c68

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Date deposited: 26 Sep 2011 16:15
Last modified: 19 Jul 2019 22:07

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Author: Markus Brede

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