Locals vs. global synchronization in networks of non-identical Kuramoto oscillators
Brede, M. (2008) Locals vs. global synchronization in networks of non-identical Kuramoto oscillators. The European Physical Journal B, 62, (1), 87-94. (doi:10.1140/epjb/e2008-00126-9).
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In this paper networks that optimize a combined measure of local and global synchronizability are evolved. It is shown that for low coupling improvements in the local synchronizability dominate network evolution. This leads to an expressed grouping of elements with similar native frequency into cliques, allowing for an early onset of synchronization, but rendering full synchronization hard to achieve. In contrast, for large coupling the network evolution is governed by improvements towards full synchronization, preventing any expressed community structure. Such networks exhibit strong coupling between dissimilar oscillators. Albeit a rapid transition to full synchronization is achieved, the onset of synchronization is delayed in comparison to the first type of networks. The paper illustrates that an early onset of synchronization (which relates to clustering) and global synchronization are conflicting demands on network topology.
|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 15:53|
|Last Modified:||21 May 2013 14:33|
|Contributors:||Brede, M. (Author)
|Further Information:||Google Scholar|
|ISI Citation Count:||26|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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Locals vs. global synchronization in networks of non-identical Kuramoto oscillators. (deposited 12 Sep 2011 14:02)
- Locals vs. global synchronization in networks of non-identical Kuramoto oscillators. (deposited 26 Sep 2011 15:53) [Currently Displayed]
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