ArticleScientific reports2018
Complex Network Geometry and Frustrated Synchronization.
Article in Scientific reports, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 12 papers.
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Who cites it
12 citing papers in PubMed.
- A complex network perspective on brain disease.Biological reviews of the Cambridge Philosophical Society · 2026Review
- Synchronization of Kuromoto Oscillators on Simplicial Complexes: Hysteresis, Cluster Formation and Partial Synchronization.Entropy (Basel, Switzerland) · 2025Review
- Frustrated Synchronization of the Kuramoto Model on Complex Networks.Entropy (Basel, Switzerland) · 2024Article
- Unraveling the mesoscale organization induced by network-driven processes.Proceedings of the National Academy of Sciences of the United States of America · 2024Article
- Synchronization Transition of the Second-Order Kuramoto Model on Lattices.Entropy (Basel, Switzerland) · 2023Article
- How the latent geometry of a biological network provides information on its dynamics: the case of the gene network of chronic myeloid leukaemia.Frontiers in cell and developmental biology · 2023Article
- The role of epidemic spreading in seizure dynamics and epilepsy surgery.Network neuroscience (Cambridge, Mass.) · 2023Article
- Epidemic models characterize seizure propagation and the effects of epilepsy surgery in individualized brain networks based on MEG and invasive EEG recordings.Scientific reports · 2022Article
- Article
- Higher-order temporal network effects through triplet evolution.Scientific reports · 2021Article
- Power-Law Distributions of Dynamic Cascade Failures in Power-Grid Models.Entropy (Basel, Switzerland) · 2020Article
- Critical synchronization dynamics of the Kuramoto model on connectome and small world graphs.Scientific reports · 2019Article
Corrections and comments
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
The dynamics of networks of neuronal cultures has been recently shown to be strongly dependent on the network geometry and in particular on their dimensionality. However, this phenomenon has been so far mostly unexplored from the theoretical point of view. Here we reveal the rich interplay between network geometry and synchronization of coupled oscillators in the context of a simplicial complex model of manifolds called Complex Network Manifold. The networks generated by this model combine small world properties (infinite Hausdorff dimension) and a high modular structure with finite and tunable spectral dimension. We show that the networks display frustrated synchronization for a wide range of the coupling strength of the oscillators, and that the synchronization properties are directly affected by the spectral dimension of the network.
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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.