Ferromagnetic resonance and magnetic precessions in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>φ</mml:mi><mml:mn>0</mml:mn></mml:msub></mml:math> junctions

We show that a current sweep along the $IV$ curve of the ${\ensuremath{\varphi}}_{0}$ junction may lead to regular magnetization dynamics with a series of specific phase trajectories. The origin of these trajectories is related to a direct coupling between the magnetic moment and the Josephson oscillations in these junctions and ferromagnetic resonance when Josephson frequency coincides with the ferromagnetic one. We demonstrate that an external electromagnetic field can control the dynamics of magnetic moment within a current interval corresponding to a Shapiro step and produce a specific transformation of precession trajectories. As an effect of the coupling between magnetization and spin-orbit interaction, we demonstrate the appearance of the dc component of superconducting current and clarify its role in the transformation of $IV$ characteristics in the resonance region. Good agreement between numerical and analytical results has been found in the ferromagnetic resonance region. The presented results might be used for developing novel resonance methods of determination of the spin-orbit coupling parameter in noncentrosymmetric materials. We discuss experiments which can test our results.