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. European Physical Journal B - Condensed Matter and Complex Systems, 62, (1), 87-94. (doi:10.1140/epjb/e2008-00126-9)
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Description/Abstract
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.
| Item Type: | Article |
|---|---|
| ISSN: | 1434-6028 (print) 1434-6036 (electronic) |
| Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Agents, Interactions & Complexity |
| ePrint ID: | 196659 |
| URI: | http://eprints.soton.ac.uk/id/eprint/196659 |
| Deposited On: | 12 Sep 2011 15:02 |
| Last Modified: | 12 Sep 2011 15:06 |
| Further Information: | Google Scholar |
| ISI Citation Count: | 22 |
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