Abstract
We have investigated the system consisting of three \({{\varphi }_{0}}\) Josephson junctions, each connected in series to the resonant circuits with different eigenfrequencies. By applying an external alternating voltage pulse with a frequency coinciding with the eigenfrequency of the selected resonant circuit, the possibility of a controllable magnetization reversal is demonstrated. The influence of system parameters on the dynamics of magnetization in each of the \({{\varphi }_{0}}\) -junctions is studied in detail and the intervals of model parameters for a controllable magnetization reversal are clarified. We expect that the obtained results can be used to develop cryogenic memory based on many \({{\varphi }_{0}}\) -junctions.