An article titled "A Phonon Laser", reported an experiment. Where a Mg+ ion was placedin a harmonic potential. It was pushed by two lasers, pointing in the same direction. Onelaser pushed when the Mg+ ion went towards it. And thereby slowing it down. The otherlaser pushed when the Mg+ ion went away from it. And thereby doing positive work on it.For this thesis I have simulated the Mg ions motion. The behaviors shown here are dampedoscillations, amplified oscillations and stable oscillations.