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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Sparse antagonistic random matrices with diagonal disorder and Jacobian structure show five spectral phases; the population dynamics algorithm underestimates spectral support under strong disorder.
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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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Spectral properties and phase diagrams of sparse antagonistic random matrices with diagonal disorder and Jacobian-like structure
Sparse antagonistic random matrices with diagonal disorder and Jacobian structure show five spectral phases; the population dynamics algorithm underestimates spectral support under strong disorder.