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Locals vs. global synchronization in networks of non-identical Kuramoto oscillators

Locals vs. global synchronization in networks of non-identical Kuramoto oscillators
Locals vs. global synchronization in networks of non-identical Kuramoto oscillators
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.
1434-6028
87-94
Brede, M.
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Brede, M.
bbd03865-8e0b-4372-b9d7-cd549631f3f7

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).

Record type: Article

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.

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e-pub ahead of print date: 21 March 2008
Published date: 2008
Organisations: Agents, Interactions & Complexity

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Local EPrints ID: 272848
URI: https://eprints.soton.ac.uk/id/eprint/272848
ISSN: 1434-6028
PURE UUID: b9e9b0e7-5f26-45a5-b446-d02745d2dd51

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Date deposited: 26 Sep 2011 15:53
Last modified: 13 Oct 2017 16:31

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Author: M. Brede

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