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.
Title resolution pending
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
verdicts
UNVERDICTED 4representative citing papers
Exact dimensional reduction of N identical quasi-linear ODE units of order M to M+1 closed macroscopic equations that capture all microscopic dynamics.
Mixed-sign feedback disorder in Kuramoto-coupled active rotator networks reshapes pinning-drift balance, with weak coupling suppressing drift and stronger coupling restoring it when disorder is moderate.
Mellin spectral theory on the multiplicative half-line reveals decoupling of geometric exponent a from spectral exponent b, with a=b marking simple RG fixed points and a≠b indicating multicriticality.
citing papers explorer
-
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.
-
Collective drift and pinning in active rotator networks with Kuramoto coupling and mixed-sign feedback disorder
Mixed-sign feedback disorder in Kuramoto-coupled active rotator networks reshapes pinning-drift balance, with weak coupling suppressing drift and stronger coupling restoring it when disorder is moderate.
-
Multicriticality and Scaling: Mellin Spectral Theory, and the Decoupling of Geometric and Spectral Exponents
Mellin spectral theory on the multiplicative half-line reveals decoupling of geometric exponent a from spectral exponent b, with a=b marking simple RG fixed points and a≠b indicating multicriticality.