Perfect synchronization in networks of phase-frustrated oscillators

Prosenjit Kundu, Chittaranjan Hens, Baruch Barzel, Pinaki Pal

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Synchronizing phase-frustrated Kuramoto oscillators, a challenge that has found applications from neuronal networks to the power grid, is an eluding problem, as even small phase lags cause the oscillators to avoid synchronization. Here we show, constructively, how to strategically select the optimal frequency set, capturing the natural frequencies of all oscillators, for a given network and phase lags, that will ensure perfect synchronization. We find that high levels of synchronization are sustained in the vicinity of the optimal set, allowing for some level of deviation in the frequencies without significant degradation of synchronization. Demonstrating our results on first- and second-order phase-frustrated Kuramoto dynamics, we implement them on both model and real power grid networks, showing how to achieve synchronization in a phase-frustrated environment.

Original languageEnglish
Article number40002
JournalEPL
Volume120
Issue number4
DOIs
StatePublished - Nov 2017

Bibliographical note

Publisher Copyright:
© 2018 EPLA.

Funding

The authors would like to thank Syamal Dana for interesting comments and suggestions. PK acknowledges support from DST, India under the DST-INSPIRE scheme (Code: IF140880). CH is supported by the CHE/PBC, Israel. This work was supported by NSF-CRISP Award No. 1735505. (19) interesting comments and suggestions. PK acknowledges support from DST, India under the DST-INSPIRE scheme (Code: IF140880). CH is supported by the CHE/PBC, Israel. This work was supported by NSF-CRISP Award No. 1735505.

FundersFunder number
CHE/PBC
DST-INSPIREIF140880
NSF-CRISP1735505
Norsk Sykepleierforbund
Council for Higher Education
Department of Science and Technology, Government of West Bengal
Department of Science and Technology, Government of Rajasthan

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