ArticleScientific reports2019
Critical synchronization dynamics of the Kuramoto model on connectome and small world graphs.
Article in Scientific reports, 2019. 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, 51 citations in OpenAlex.
- Sub-second fluctuations between top-down and bottom-up modes distinguish diverse human brain states.Current biology : CB · 2026Article
- Enhancing deep neural networks through complex-valued representations and Kuramoto synchronization dynamics.ArXiv · 2025Article
- Analysis of High-Dimensional Coordination in Human Movement Using Variance Spectrum Scaling and Intrinsic Dimensionality.Entropy (Basel, Switzerland) · 2025Article
- Longitudinal excitation-inhibition balance altered by sex and APOE-ε4.Communications biology · 2025Article
- Frustrated Synchronization of the Kuramoto Model on Complex Networks.Entropy (Basel, Switzerland) · 2024Article
- A Phase Model of the Bio-Inspired NbOx Local Active Memristor under Weak Coupling Conditions.Micromachines · 2024Article
- Article
- Reaction-diffusion models in weighted and directed connectomes.PLoS computational biology · 2022Article
- Propofol-induced Unresponsiveness Is Associated with a Brain Network Phase Transition.Anesthesiology · 2022Article
- Phase synchronization and measure of criticality in a network of neural mass models.Scientific reports · 2022Article
- Criticality, Connectivity, and Neural Disorder: A Multifaceted Approach to Neural Computation.Frontiers in computational neuroscience · 2021Review
- Power-Law Distributions of Dynamic Cascade Failures in Power-Grid Models.Entropy (Basel, Switzerland) · 2020Article
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Authors and funding
2 authors at 2 institutions in 2 countries.
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No grant is acknowledged in the PubMed record.
Abstract
The hypothesis, that cortical dynamics operates near criticality also suggests, that it exhibits universal critical exponents which marks the Kuramoto equation, a fundamental model for synchronization, as a prime candidate for an underlying universal model. Here, we determined the synchronization behavior of this model by solving it numerically on a large, weighted human connectome network, containing 836733 nodes, in an assumed homeostatic state. Since this graph has a topological dimension d < 4, a real synchronization phase transition is not possible in the thermodynamic limit, still we could locate a transition between partially synchronized and desynchronized states. At this crossover point we observe power-law-tailed synchronization durations, with τ
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