preprintZenodo (CERN European Organization for Nuclear Research)Feb 27, 2026GREEN OA

Aperiodic Spatial Forcing Reduces Mode Locking in a Forced Kuramoto Network

PKPavel Kramarenko-Byrd
Indexed indatacite

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.

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Topics & keywords

Topics
Keywords
  • Aperiodic graph
  • Synchronization (alternating current)
  • Control theory (sociology)
  • Forcing (mathematics)
  • Synchronization networks
  • Phase locking
  • Mode (computer interface)
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