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Exp Kuramoto Partial Overlap Anticorrelation 79
positive vs anticorr locking gap mean +0.46449 +/- 0.00422 overall; mid-overlap anticorr phase-gap excess +0.14625 +/- 0.00553 overall; in 4 sampled sanitized outputs, at overlap 0.50 and coupling 1.05 the anticorrelated case has sync 0.16297 +/- 0.00000, shared-node phase gap 0.75822 +/- 0.00000, and locked fraction 0.35148 +/- 0.00000, versus 0.13186 +/- 0.00000, 0.19233 +/- 0.00000, and 0.80338 +/- 0.00000 under positive correlation; the anticorrelated phase gap stays large at the same coupling for overlap 0.20 (0.85062 +/- 0.00000) and 0.80 (0.87422 +/- 0.00000)
Anticorrelated shared frequencies strongly frustrate interlayer locking on the overlap set. The clearest signal is not a simple drop in bulk coherence, but a collapse in the fraction of shared oscillators that remain phase-locked together with a large increase in interlayer phase separation. Positive correlation restores locking at the same overlap and coupling, which ties the effect to the sign structure of the shared frequencies rather than overlap alone. Mechanistically, the shared nodes behave like persistent sources of phase mismatch that propagate frustration across both layers.
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