A self-consistent framework with generalized local order parameters is derived for the Kuramoto model with dyadic and triadic interactions on hypergraphs, showing bistability onset depends on eigenvector correlations between dyadic and triadic structures.
Abrupt phase transition of epidemic spreading in simplicial complexes,
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Adaptive hyperedge feedback on d-uniform hypergraphs induces discontinuous phase transitions, nonlinear thresholds, and bistable regimes where high initial prevalence leads to disease-free equilibrium, with targeted interventions outperforming random ones.
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Self-consistent analysis of the Kuramoto model with higher-order interactions
A self-consistent framework with generalized local order parameters is derived for the Kuramoto model with dyadic and triadic interactions on hypergraphs, showing bistability onset depends on eigenvector correlations between dyadic and triadic structures.
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Adaptive Epidemic Dynamics on Hypergraphs with Group-Level Immunization and Rewiring
Adaptive hyperedge feedback on d-uniform hypergraphs induces discontinuous phase transitions, nonlinear thresholds, and bistable regimes where high initial prevalence leads to disease-free equilibrium, with targeted interventions outperforming random ones.