Optimal synchronization in space
Brede, Markus (2010) Optimal synchronization in space. Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, 81, (2), 025202-[4pp]. (doi:10.1103/PhysRevE.81.025202).
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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−α, with exponents α 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.
|Subjects:||Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
|Divisions:||Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Agents, Interactions & Complexity
|Date Deposited:||26 Sep 2011 16:15|
|Last Modified:||27 Mar 2014 20:18|
|Publisher:||The American Physical Society|
|Further Information:||Google Scholar|
|ISI Citation Count:||5|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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