| Issue |
EPL
Volume 90, Number 6, June 2010
|
|
|---|---|---|
| Article Number | 60005 | |
| Number of page(s) | 6 | |
| Section | General | |
| DOI | https://doi.org/10.1209/0295-5075/90/60005 | |
| Published online | 16 July 2010 | |
Small worlds in space: Synchronization, spatial and relational modularity
CSIRO Marine and Atmospheric Research, CSIRO Centre for Complex System Science, F. C. Pye Laboratory GPO Box 3023, Clunies Ross Street, Canberra ACT 2601, Australia
Received:
9
March
2010
Accepted:
11
June
2010
In this letter we investigate networks that have been optimized to realize a trade-off between enhanced synchronization and cost of wire to connect the nodes in space. Analyzing the evolved arrangement of nodes in space and their corresponding network topology, a class of small-world networks characterized by spatial and network modularity is found. More precisely, for low cost of wire optimal configurations are characterized by a division of nodes into two spatial groups with maximum distance from each other, whereas network modularity is low. For high cost of wire, the nodes organize into several distinct groups in space that correspond to network modules connected on a ring. In between, spatially and relationally modular small-world networks are found.
PACS: 05.45.Xt – Synchronization; coupled oscillators / 89.75.Fb – Structures and organization in complex systems / 89.75.Hc – Networks and genealogical trees
© EPLA, 2010
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.