In the visual cortex of cats, orientation preference (OP) maps and ocular dominance (OD) maps are spatially irregular. Many models, e.g. [1], predict the formation of spatially periodic cortical maps. Recently it was found that irregular maps can be stabililized by long-range interactions in pattern formation models [2]. Because OD and OP maps are geometrically coupled, we studied whether such a coupling can transfer spatial irregularity from OP to OD maps. To this end we constructed dynamical pattern forming models in which we can continuously vary the strength of the inter-map coupling. The solutions of these models were investigated using coupled amplitude equations for the active Fourier modes of the two patterns. If the coupling enters at seventh order in these equations there is a limit in which the back-reaction of the OD dynamics onto the dynamics of the OP map is negligible. In the uncoupled case, OP maps are pinwheel rich and spatially aperiodic whereas OD maps consist of spatially periodic parallel stripes. Above a critical coupling strength the OD stripe solutions become unstable towards solutions showing a disordered layout. As experimentally observed [3], these solutions show a bias towards orthogonal intersection angles between the OD and OP map contour lines. In the amplitude equation formalism this is described by phase equations for the corresponding active modes. Numerical simulations of the full dynamics confirm these results. This model for the combined development of the different maps in the visual cortex therefore demonstrates that the spatial irregularity of one map can be transferred to another map by inter-map coupling. [1] Koulakov, Neuron 29, 519 (2001) [2] Wolf, PRL, 95:208701 (2005) [3] Hübener et al. , J. of Neuroscience 17:9270 (1997)