  In this paper, we present a dynamical decoupling (DD) technique to coherently
control the dynamics of a single local phonon in trapped ions. A 2$\pi$
rotation at a motional sideband transition flips the sign of the relevant local
phonon state, resulting in cancellation of the phonon dynamics. In this work,
we implement DD using single and multiple blue-sideband pulses to control a
single local phonon in two $^{40}{\rm Ca}^{+}$ ions in a linear Paul trap. Our
proposed DD technique can be used to engineer coupling between local phonon
modes.
