  In the review we briefly analyze the state-of-art in the theory of
flexoelectric phenomena and analyze how significantly the flexoelectric
coupling can change the polar order parameter distribution in different
ferroics and liquid crystals. The special attention in paid to the appearance
of the spatially modulated phases induced by the flexocoupling in condensed and
soft matter. Results of theoretical modeling performed in the framework of the
Landau-Ginzburg-Devonshire formalism revealed that the general feature,
inherent to both ferroics and liquid crystals, is the appearance of the
spatially-modulated phases is taking place with increasing of the flexocoupling
strength. We'd like to underline that theoretical and experimental study of
flexoelectricity and related phenomena in nanosized and bulk ferroics, liquid
crystals and related materials are very important for their advanced
applications in nanoelectronics, memory devices and LC displays.
