Incommensurate periodic configurations in systems with a real order parameter

Considering the standard Landau model we demonstrate that the phase diagrams for the lock-in to the uniform and dimerized ordering contain a class of periodic configurations. They are formed as sequences of local commensurate and incommensurate modulation. The simplest representatives are calculated numerically. Being stable in narrow ranges of the control parameters, these configurations might be the source of global hysteresis and memory effects frequently seen in particular systems.