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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The authors propose Recursive Hierarchical Networks and claim to prove a law of functional evolution showing irreversible progression through structure, regulation, and intelligence dominated stages, with similar monotonic trajectories across life, cosmic, informational, and social systems.
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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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Recursive Hierarchical Networks and the Law of Functional Evolution: A Universal Framework for Complex Systems
The authors propose Recursive Hierarchical Networks and claim to prove a law of functional evolution showing irreversible progression through structure, regulation, and intelligence dominated stages, with similar monotonic trajectories across life, cosmic, informational, and social systems.