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Synchrony-optimized networks of non-identical Kuramoto oscillators

Synchrony-optimized networks of non-identical Kuramoto oscillators
Synchrony-optimized networks of non-identical Kuramoto oscillators
In this Letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling network to its synchronizability. These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces heterogeneity in the optimal coupling network as well. Two rules for enhancing the synchronizability of a given network by a suitable placement of oscillators are given: (i) native frequencies of adjacent oscillators must be anti-correlated and (ii) frequency magnitudes should positively correlate with the degree of the node they are placed at.
0375-9601
2618-2622
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7

Brede, Markus (2008) Synchrony-optimized networks of non-identical Kuramoto oscillators. Physics Letters A, 372 (15), 2618-2622.

Record type: Article

Abstract

In this Letter we discuss a method for generating synchrony-optimized coupling architectures of Kuramoto oscillators with a heterogeneous distribution of native frequencies. The method allows us to relate the properties of the coupling network to its synchronizability. These relations were previously only established from a linear stability analysis of the identical oscillator case. We further demonstrate that the heterogeneity in the oscillator population produces heterogeneity in the optimal coupling network as well. Two rules for enhancing the synchronizability of a given network by a suitable placement of oscillators are given: (i) native frequencies of adjacent oscillators must be anti-correlated and (ii) frequency magnitudes should positively correlate with the degree of the node they are placed at.

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Published date: 7 April 2008
Organisations: Agents, Interactions & Complexity

Identifiers

Local EPrints ID: 272847
URI: https://eprints.soton.ac.uk/id/eprint/272847
ISSN: 0375-9601
PURE UUID: e77e4ad3-9ecb-496f-86b0-1c1f3fa4f172

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Date deposited: 26 Sep 2011 15:48
Last modified: 11 Nov 2017 13:18

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Contributors

Author: Markus Brede

University divisions

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