Here are a couple of examples of the sort of plots you might see:
These two plots show the RF cavity oscillations at injection and after 500 microseconds. Note how the frequency of the RF cavity has increased - this is to match the increased particle revolution frequency (as the particles have accelerated so much).
The particle energy increases with time to match the RF frequency, like:
It looks like the acceleration worked! There are actually two particle trajectories shown: the black points show a particle tuned to match the RF reference trajectory, while the blue points show a particle that is offset longitudinally and oscillating around the reference trajectory.