A high degree of control over the structure and dynamics of domain patterns in nonequilibrium systems can be achieved by applying nonuniform external fields near parity breaking front bifurcations. An external field with a linear spatial profile stabilizes a propagating front at a fixed position or induces oscillations with frequency that scales like the square root of the field gradient. Nonmonotonic profiles produce a variety of patterns with controllable wavelengths, domain sizes, and frequencies and phases of oscillations.PACS numbers: 05.45.+r, 82.20Mj Technological applications of pattern forming systems are largely unexplored. The few applications that have been pursued, however, have had enormous technological impacts. Magnetic domain patterns in memory devices provide an excellent example [1]. Intensive research effort has been devoted recently to dissipative systems held far from thermal equilibrium [2]. Unlike magnetic materials, such systems are nongradient in general and their asymptotic behaviors need not be stationary; a variety of dynamical behaviors can be realized, including planar and circular traveling waves, rotating spiral waves, breathing structures and spatiotemporal chaos. This wealth of behaviors opens up new opportunities for potential technological applications. Their realizations, however, depend on the ability to control spatiotemporal patterns by weak external forces. Most studies in this direction have focused on drifting localized structures [3].In this paper we present a novel way to control domain patterns far from equilibrium. We consider dissipative systems exhibiting parity breaking front bifurcations (also referred to as nonequilibrium Ising-Bloch or NIB transitions [4,5]), in which stationary fronts lose stability to pairs of counterpropagating fronts. Examples of systems exhibiting NIB bifurcations include liquid crystals [6] and anisotropic ferromagnets [7] subjected to rotating magnetic fields, chains of coupled electrical oscillators [8], the catalytic CO oxidation on a platinum surface [9,10], the ferrocyanide-iodate-sulphite (FIS) reaction [11], and semiconductor etalons [12]. A prominent feature of these systems is that transitions between the parity broken states, the left and right propagating fronts, become feasible as the front bifurcation is approached. Indeed, intrinsic disturbances, like front curvature and front interactions, are sufficient to induce spontaneous transitions and can lead to complex pattern formation phenomena such as breathing labyrinths, spot replication [11,13] and spiral turbulence [14]. It is this dynamical flexibility near NIB bifurcations that we wish to exploit. By forcing transitions between the left and right propagating fronts, using spatially dependent external fields, we propose to obtain a high degree of control on pattern behavior.We demonstrate this idea using a forced activatorinhibitor system of the formwhere u, the activator, and v, the inhibitor, are scalar real fields, and h and J are external fields. With appropriate c...