  Synchronizing phase frustrated Kuramoto oscillators, a challenge that has
found applications from neuronal networks to the power grid, is an eluding
problem, as even small phase-lags cause the oscillators to avoid
synchronization. Here we show, constructively, how to strategically select the
optimal frequency set, capturing the natural frequencies of all oscillators,
for a given network and phase-lags, that will ensure perfect synchronization.
We find that high levels of synchronization are sustained in the vicinity of
the optimal set, allowing for some level of deviation in the frequencies
without significant degradation of synchronization. Demonstrating our results
on first and second order phase-frustrated Kuramoto dynamics, we implement them
on both model and real power grid networks, showing how to achieve
synchronization in a phase frustrated environment.

Adaptation and Self-Organizing Systems;Chaotic Dynamics