ArticleNature communications2021
Stability of synchronization in simplicial complexes.
Article in Nature communications, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 30 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
30 citing papers in PubMed, 311 citations in OpenAlex.
- Coupled Map Lattice Modeling and Robustness Analysis of Simplicial Complex Networks with Higher-Order Interactions.Entropy (Basel, Switzerland) · 2026Article
- Spatiotemporal complexity in the psychotic brain.Molecular psychiatry · 2026Article
- Impact of high-order time-delayed information on epidemic propagation in multiplex networks.Infectious Disease Modelling · 2026Article
- Reducibility of higher-order networks from dynamics.Nature communications · 2026Article
- The microscale organization of directed hypergraphs.Communications physics · 2026Article
- Effects of Hyperedge Overlap and Internal Structure on Hypernetwork Synchronization Dynamics.Entropy (Basel, Switzerland) · 2025Article
- Drivers of cooperation in social dilemmas on higher-order networks.Journal of the Royal Society, Interface · 2025Article
- Hypergraph reconstruction from dynamics.Nature communications · 2025Article
- Study on the robust control of higher-order networks.Scientific reports · 2025Article
- Hyperedge overlap drives explosive transitions in systems with higher-order interactions.Nature communications · 2025Article
- Both k-core percolation and directed graph analysis revealed succession and transition of voxels' spatiotemporal progress on dynamic correlation resting-state fMRI.Frontiers in human neuroscience · 2025Article
- Collective behavior of higher-order globally coupled oscillatory networks in response to positive and negative couplings.Frontiers in network physiology · 2025Article
- Experimental datasets on synchronization in simplicial complexes.Data in brief · 2024Article
- Stability of synchronization manifolds and its nonlinear behaviour in memristive coupled discrete neuron model.Cognitive neurodynamics · 2024Article
- How synchronized human networks escape local minima.Nature communications · 2024Article
- Deeper but smaller: Higher-order interactions increase linear stability but shrink basins.Science advances · 2024Article
- Effects of high-order interactions on synchronization of a fractional-order neural system.Cognitive neurodynamics · 2024Article
- Reinforcement learning-based pinning control for synchronization suppression in complex networks.Heliyon · 2024Article
- Reconstructing higher-order interactions in coupled dynamical systems.Nature communications · 2024Article
- The transition to synchronization of networked systems.Nature communications · 2024Article
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
9 authors at 5 institutions in 5 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Various systems in physics, biology, social sciences and engineering have been successfully modeled as networks of coupled dynamical systems, where the links describe pairwise interactions. This is, however, too strong a limitation, as recent studies have revealed that higher-order many-body interactions are present in social groups, ecosystems and in the human brain, and they actually affect the emergent dynamics of all these systems. Here, we introduce a general framework to study coupled dynamical systems accounting for the precise microscopic structure of their interactions at any possible order. We show that complete synchronization exists as an invariant solution, and give the necessary condition for it to be observed as a stable state. Moreover, in some relevant instances, such a necessary condition takes the form of a Master Stability Function. This generalizes the existing results valid for pairwise interactions to the case of complex systems with the most general possible architecture.
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.