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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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.
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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.
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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.