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Controlling synchronisation through adaptive phase lags

Controlling synchronisation through adaptive phase lags
Controlling synchronisation through adaptive phase lags
We compare two methods for controlling synchronisation in the Kuramoto model on an undirected network. The first is by driving selected oscillators at a desired frequency by linking to an external driver, and the second is by including adaptive lags within the Kuramoto interactions, where the lags evolve according to a dynamics involving the reference frequency.
Performing numerical simulations, we find that driving via adaptive lags allows for stronger alignment to the external driver at lower cost. Numerical results are backed up by equilibrium analysis based on a fixed point ansatz assuming frequency synchronised clusters and solving the spectrum of the associated Jacobian. A simple intuitive model emerges based on the interaction between splayed clusters close to a critical point.
IPME RAS
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Kalloniatis, Alexander
721e7c21-2a59-4698-a536-73e1f41325fc
Brede, Markus
bbd03865-8e0b-4372-b9d7-cd549631f3f7
Kalloniatis, Alexander
721e7c21-2a59-4698-a536-73e1f41325fc

Brede, Markus and Kalloniatis, Alexander (2017) Controlling synchronisation through adaptive phase lags. In Proceedings of the 8th International Conference on Physics and Control (PhysCon 2017). IPME RAS. 8 pp .

Record type: Conference or Workshop Item (Paper)

Abstract

We compare two methods for controlling synchronisation in the Kuramoto model on an undirected network. The first is by driving selected oscillators at a desired frequency by linking to an external driver, and the second is by including adaptive lags within the Kuramoto interactions, where the lags evolve according to a dynamics involving the reference frequency.
Performing numerical simulations, we find that driving via adaptive lags allows for stronger alignment to the external driver at lower cost. Numerical results are backed up by equilibrium analysis based on a fixed point ansatz assuming frequency synchronised clusters and solving the spectrum of the associated Jacobian. A simple intuitive model emerges based on the interaction between splayed clusters close to a critical point.

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More information

Published date: 1 November 2017
Venue - Dates: 8th International Conference on Physics and Control, Firenze, Italy, 2017-07-17 - 2017-07-19

Identifiers

Local EPrints ID: 415259
URI: https://eprints.soton.ac.uk/id/eprint/415259
PURE UUID: d77cde38-2672-46da-beb3-886fa7885fc5

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Date deposited: 06 Nov 2017 17:30
Last modified: 13 Mar 2019 19:17

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Contributors

Author: Markus Brede
Author: Alexander Kalloniatis

University divisions

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