Frustration tuning and perfect phase synchronization in the Kuramoto-Sakaguchi model
Frustration tuning and perfect phase synchronization in the Kuramoto-Sakaguchi model
We present an analysis of conditions under which the dynamics of a frustrated Kuramoto—or Kuramoto-Sakaguchi—model on sparse networks can be tuned to enhance synchronization. Using numerical optimization techniques, linear stability, and dimensional reduction analysis, a simple tuning scheme for setting node-specific frustration parameters as functions of native frequencies and degrees is developed. Finite-size scaling analysis reveals that even partial application of the tuning rule can significantly reduce the critical coupling for the onset of synchronization. In the second part of the paper, a codynamics is proposed, which allows a dynamic tuning of frustration parameters simultaneously with the ordinary Kuramoto dynamics. We find that such codynamics enhance synchronization when operating on slow time scales, and impede synchronization when operating on fast time scales relative to the Kuramoto dynamics.
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Alexander C., Kalloniatis
40e243b7-12b4-4c3b-8f52-98fbc7449840
23 June 2016
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Alexander C., Kalloniatis
40e243b7-12b4-4c3b-8f52-98fbc7449840
Brede, Markus and Alexander C., Kalloniatis
(2016)
Frustration tuning and perfect phase synchronization in the Kuramoto-Sakaguchi model.
Physical Review E, 93 (6), [062315].
(doi:10.1103/PhysRevE.93.062315).
Abstract
We present an analysis of conditions under which the dynamics of a frustrated Kuramoto—or Kuramoto-Sakaguchi—model on sparse networks can be tuned to enhance synchronization. Using numerical optimization techniques, linear stability, and dimensional reduction analysis, a simple tuning scheme for setting node-specific frustration parameters as functions of native frequencies and degrees is developed. Finite-size scaling analysis reveals that even partial application of the tuning rule can significantly reduce the critical coupling for the onset of synchronization. In the second part of the paper, a codynamics is proposed, which allows a dynamic tuning of frustration parameters simultaneously with the ordinary Kuramoto dynamics. We find that such codynamics enhance synchronization when operating on slow time scales, and impede synchronization when operating on fast time scales relative to the Kuramoto dynamics.
Text
MB_AK.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 2 June 2016
e-pub ahead of print date: 23 June 2016
Published date: 23 June 2016
Organisations:
Agents, Interactions & Complexity
Identifiers
Local EPrints ID: 397481
URI: http://eprints.soton.ac.uk/id/eprint/397481
ISSN: 1539-3755
PURE UUID: 7a11ed29-2224-491e-919a-9ee172310e3e
Catalogue record
Date deposited: 01 Jul 2016 13:42
Last modified: 15 Mar 2024 01:15
Export record
Altmetrics
Contributors
Author:
Markus Brede
Author:
Kalloniatis Alexander C.
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics