  The influence of a periodic spatial forcing on the pattern formation in a
generalized Cahn-Hilliard model is studied in order to describe the pattern
formation in Langmuir-Blodgett transfer onto prestructured substrates. The
occurring synchronization effects enable a control mechanism for the pattern
formation process. In the one dimensional case the parameter range in which
patterns are created is increased and the patterns' properties can be adjusted
in a broader range. In two dimensions, one dimensional stripe patterns can be
destabilized, giving rise to a multitude of new two dimensional patterns,
including oblique and lattice patterns.
