ArticleScience advances2020
First-order synchronization transition in a large population of strongly coupled relaxation oscillators.
Article in Science advances, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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Who cites it
5 citing papers in PubMed.
- Frequency synchronization induced by frequency detuning.Science advances · 2025Article
- Extreme synchronization transitions.Nature communications · 2025Article
- Nonlinearity-Induced Asymmetric Synchronization Region in Micromechanical Oscillators.Micromachines · 2024Article
- Stochastic transition in synchronized spiking nanooscillators.Proceedings of the National Academy of Sciences of the United States of America · 2023Article
- A universal route to explosive phenomena.Science advances · 2021Article
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Authors and funding
4 authors.
Funding
No grant is acknowledged in the PubMed record.
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 synchronization transition. We further support this hypothesis by revealing the mechanism of the transition, which cannot be accounted for by standard phase reduction techniques.
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Registered trials
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