Aperiodic Spatial Forcing Reduces Mode Locking in a Forced Kuramoto Network

Zenodo (CERN European Organization for Nuclear Research) 2026 Preprint Open access

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Authors: Pavel Kramarenko-Byrd
DOI: 10.5281/zenodo.18802023
Cited by: 12

Abstract

Paper 11 in The Geometry of the Critical Line programme. Computational study showing that deterministic aperiodic spatial phase offsets suppress synchronization in forced oscillator networks by 80–100 percentage points, while temporal phase-walking re-enables lock-in via sweep-induced capture. The effect is driven by spatial aperiodicity broadly, not by primes specifically.

Fields of Study & Subjects

Nonlinear Dynamics and Pattern Formation Neural Networks Stability and Synchronization stochastic dynamics and bifurcation

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
27 February 2026
Document type
Preprint