First-order synchronization transition in a large population of strongly coupled relaxation oscillators.
| Autor: | Călugăru D; Cavendish Laboratory, University of Cambridge, J. J. Thomson Avenue, Cambridge CB3 0HE, UK.; Department of Physics, Princeton University, Princeton, NJ 08544, USA., Totz JF; Institute of Theoretical Physics, Technical University Berlin, EW 7-1, Hardenbergstr. 36, 10623 Berlin, Germany. jantotz@mit.edu.; Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.; Department of Mathematics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA., Martens EA; Department of Applied Mathematics and Computer Science, Technical University of Denmark, Richard Petersens Plads, 2800 Kgs. Lyngby, Denmark., Engel H; Institute of Theoretical Physics, Technical University Berlin, EW 7-1, Hardenbergstr. 36, 10623 Berlin, Germany. |
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| Jazyk: | angličtina |
| Zdroj: | Science advances [Sci Adv] 2020 Sep 23; Vol. 6 (39). Date of Electronic Publication: 2020 Sep 23 (Print Publication: 2020). |
| DOI: | 10.1126/sciadv.abb2637 |
| Abstrakt: | 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. (Copyright © 2020 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC).) |
| Databáze: | MEDLINE |
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