ArticleNature communications2020
Symmetries and cluster synchronization in multilayer networks.
Article in Nature communications, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 15 papers.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
15 citing papers in PubMed.
- Transition to synchronization in functional brain networks of children suffering from ADHD.Brain structure & function · 2025Article
- Node-layer duality in networked systems.Nature communications · 2024Article
- The transition to synchronization of networked systems.Nature communications · 2024Article
- Synchronization Induced by Layer Mismatch in Multiplex Networks.Entropy (Basel, Switzerland) · 2023Article
- Generalized external synchronization of networks based on clustered pandemic systems-The approach of Covid-19 towards influenza.PloS one · 2023Article
- Algebraic Decomposition of Model Predictive Control Problems.IEEE control systems letters · 2023Article
- Matryoshka and disjoint cluster synchronization of networks.Chaos (Woodbury, N.Y.) · 2022Article
- Looking beyond community structure leads to the discovery of dynamical communities in weighted networks.Scientific reports · 2022Article
- Lag Synchronization of Noisy and Nonnoisy Multiple Neurobiological Coupled FitzHugh-Nagumo Networks with and without Delayed Coupling.Computational intelligence and neuroscience · 2022Article
- Network approach to understand biological systems: From single to multilayer networks.Journal of biosciences · 2022Article
- Supermodal Decomposition of the Linear Swing Equation for Multilayer Networks.IEEE access : practical innovations, open solutions · 2022Article
- Predicting synchronized gene coexpression patterns from fibration symmetries in gene regulatory networks in bacteria.BMC bioinformatics · 2021Article
- One-way dependent clusters and stability of cluster synchronization in directed networks.Nature communications · 2021Article
- Stability of synchronization in simplicial complexes.Nature communications · 2021Article
- Analyzing synchronized clusters in neuron networks.Scientific reports · 2020Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
6 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Real-world systems in epidemiology, social sciences, power transportation, economics and engineering are often described as multilayer networks. Here we first define and compute the symmetries of multilayer networks, and then study the emergence of cluster synchronization in these networks. We distinguish between independent layer symmetries, which occur in one layer and are independent of the other layers, and dependent layer symmetries, which involve nodes in different layers. We study stability of the cluster synchronous solution by decoupling the problem into a number of independent blocks and assessing stability of each block through a Master Stability Function. We see that blocks associated with dependent layer symmetries have a different structure to the other blocks, which affects the stability of clusters associated with these symmetries. Finally, we validate the theory in a fully analog experiment in which seven electronic oscillators of three kinds are connected with two kinds of coupling.
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.