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.
Rohden , author A
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Exact dimensional reduction of N identical quasi-linear ODE units of order M to M+1 closed macroscopic equations that capture all microscopic dynamics.
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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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Exact Dimensional Reduction for Quasi-Linear ODE Ensembles
Exact dimensional reduction of N identical quasi-linear ODE units of order M to M+1 closed macroscopic equations that capture all microscopic dynamics.