ArticleNature communications2022
Emergent hypernetworks in weakly coupled oscillators.
Article in Nature communications, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Hypernetworks induce stable hyperlocking.Nature communications · 2026Article
- Encoding Cumulation to Learn Perturbative Nonlinear Oscillatory Dynamics.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2026Article
- Inverse problems for dynamic patterns in coupled oscillator networks: when larger networks are simpler.Nature communications · 2026Article
- Control of Oscillator Networks with Mean-Field Measurement: A Hybrid Open/Closed-Loop Approach.IEEE transactions on control systems technology : a publication of the IEEE Control Systems Society · 2026Article
- NIPS: Network Inference with Partial State measurements using forced-delay embedding.PNAS nexus · 2026Article
- Mean-field and Fluctuations for Hub Dynamics in Heterogeneous Random Networks.Communications in mathematical physics · 2025Article
- Morphogenic Modeling of Corrosion Reveals Complex Effects of Intermetallic Particles.Advanced science (Weinheim, Baden-Wurttemberg, Germany) · 2024Article
- Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes.Nature communications · 2023Article
- Data-Driven Control of Neuronal Networks with Population-Level Measurement.Research square · 2023Article
- Inferring connectivity of an oscillatory network via the phase dynamics reconstruction.Frontiers in network physiology · 2023Review
Corrections and comments
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Authors and funding
5 authors.
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No grant is acknowledged in the PubMed record.
Abstract
Networks of weakly coupled oscillators had a profound impact on our understanding of complex systems. Studies on model reconstruction from data have shown prevalent contributions from hypernetworks with triplet and higher interactions among oscillators, in spite that such models were originally defined as oscillator networks with pairwise interactions. Here, we show that hypernetworks can spontaneously emerge even in the presence of pairwise albeit nonlinear coupling given certain triplet frequency resonance conditions. The results are demonstrated in experiments with electrochemical oscillators and in simulations with integrate-and-fire neurons. By developing a comprehensive theory, we uncover the mechanism for emergent hypernetworks by identifying appearing and forbidden frequency resonant conditions. Furthermore, it is shown that microscopic linear (difference) coupling among units results in coupled mean fields, which have sufficient nonlinearity to facilitate hypernetworks. Our findings shed light on the apparent abundance of hypernetworks and provide a constructive way to predict and engineer their emergence.
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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.