Category: Nonlinear Dyn.

Summary: Testing whether intermediate layer overlap creates the strongest synchronization frustration when shared oscillators have anti-correlated frequencies across layers.

Multiplex Kuramoto systems couple oscillators through more than one interaction layer, but the layers need not share all nodes. This experiment asks how synchronization is affected when only part of the population is shared and those shared oscillators carry anti-correlated natural frequencies across the two layers.

The hypothesis is that frustration is strongest at intermediate overlap. With too little overlap the layers barely influence one another, while with almost complete overlap the anticorrelation is averaged over the whole system. The simulation therefore scans overlap levels to see whether synchronization slowdown and desynchronization are maximized in the middle.

That makes overlap itself a control parameter for interlayer conflict. The project is aimed at the geometry of multiplex coupling, not just the usual question of whether anticorrelated frequencies help or hinder synchrony in a single well-mixed setting.

Method: Repeated multiplex Kuramoto simulations with varying shared-node overlap and anti-correlated frequencies on the shared subset.

What is measured: Synchronization level, convergence or slowdown time, dependence on overlap fraction, and strength of interlayer frustration.