First-order synchronization transition in a large population of strongly coupled relaxation oscillators
Calugaru, Dumitru ; Totz, Jan Frederik ; Martens, Erik A. LU
and Engel, Harald
(2020)
In Science Advances
6(39).
- Abstract
Onset and loss of synchronization in coupled oscillators are of fundamental importance in understanding emergent behavior in natural and man-made systems, which range from neural networks to power grids. We report on experiments with hundreds of strongly coupled photochemical relaxation oscillators that exhibit a discontinuous synchronization transition with hysteresis, as opposed to the paradigmatic continuous transition expected from the widely used weak coupling theory. The resulting first-order transition is robust with respect to changes in network connectivity and natural frequency distribution. This allows us to identify the relaxation character of the oscillators as the essential parameter that determines the nature of the... (More)
Onset and loss of synchronization in coupled oscillators are of fundamental importance in understanding emergent behavior in natural and man-made systems, which range from neural networks to power grids. We report on experiments with hundreds of strongly coupled photochemical relaxation oscillators that exhibit a discontinuous synchronization transition with hysteresis, as opposed to the paradigmatic continuous transition expected from the widely used weak coupling theory. The resulting first-order transition is robust with respect to changes in network connectivity and natural frequency distribution. This allows us to identify the relaxation character of the oscillators as the essential parameter that determines the nature of the synchronization transition. We further support this hypothesis by revealing the mechanism of the transition, which cannot be accounted for by standard phase reduction techniques.
(Less)
- author
- Calugaru, Dumitru
; Totz, Jan Frederik
; Martens, Erik A.
LU
and Engel, Harald
- publishing date
- 2020-09
- type
- Contribution to journal
- publication status
- published
- in
- Science Advances
- volume
- 6
- issue
- 39
- article number
- eabb2637
- publisher
- American Association for the Advancement of Science (AAAS)
- external identifiers
-
- scopus:85091544453
- pmid:32967828
- ISSN
- 2375-2548
- DOI
- 10.1126/sciadv.abb2637
- language
- English
- LU publication?
- no
- additional info
- Funding Information: J.F.T. and H.E. thank SFB 910 and GRK 1558. D.C. and J.F.T. thank DAAD RISE 2017, and D.C. thanks Trinity College, Cambridge for Trinity Summer Studentship Scheme 2017. Publisher Copyright: © 2020 American Association for the Advancement of Science. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.
- id
- 89557a85-0ef8-4e0b-8451-66b6e10465b5
- date added to LUP
- 2021-03-19 21:19:55
- date last changed
- 2024-07-11 11:35:14
@article{89557a85-0ef8-4e0b-8451-66b6e10465b5,
abstract = {{<p>Onset and loss of synchronization in coupled oscillators are of fundamental importance in understanding emergent behavior in natural and man-made systems, which range from neural networks to power grids. We report on experiments with hundreds of strongly coupled photochemical relaxation oscillators that exhibit a discontinuous synchronization transition with hysteresis, as opposed to the paradigmatic continuous transition expected from the widely used weak coupling theory. The resulting first-order transition is robust with respect to changes in network connectivity and natural frequency distribution. This allows us to identify the relaxation character of the oscillators as the essential parameter that determines the nature of the synchronization transition. We further support this hypothesis by revealing the mechanism of the transition, which cannot be accounted for by standard phase reduction techniques.</p>}},
author = {{Calugaru, Dumitru and Totz, Jan Frederik and Martens, Erik A. and Engel, Harald}},
issn = {{2375-2548}},
language = {{eng}},
number = {{39}},
publisher = {{American Association for the Advancement of Science (AAAS)}},
series = {{Science Advances}},
title = {{First-order synchronization transition in a large population of strongly coupled relaxation oscillators}},
url = {{http://dx.doi.org/10.1126/sciadv.abb2637}},
doi = {{10.1126/sciadv.abb2637}},
volume = {{6}},
year = {{2020}},
}