We observe zero-differential resistance states at low temperatures and moderate direct currents in a bilayer electron system formed by a wide quantum well. Several regions of vanishing resistance evolve from the inverted peaks of magneto-intersubband oscillations as the current increases. The experiment, supported by a theoretical analysis, suggests that the origin of this phenomenon is based on instability of homogeneous current flow under conditions of negative differential resistivity which leads to formation of current domains in our sample, similar to the case of single-layer systems.PACS numbers: 73.43. Qt, 73.63.Hs, Studies of non-linear transport in high-quality twodimensional electron system (2DES) have revealed many interesting phenomena which occur in a perpendicular magnetic field at large filling factors. In the presence of AC excitation by microwaves, there exist microwaveinduced resistance oscillations (MIROs) [1] which obey the periodicity ω/ω c , where ω and ω c are the radiation frequency and the cyclotron frequency, respectively. The minima of these oscillations evolve into zero-resistance states (ZRS) for high electron mobility and elevated microwave power [2]. The MIROs have been found also in bilayer and trilayer electron systems [3], where they interfere with magneto-intersubband (MIS) oscillations [4] because of the presence of more than one populated subband. Recently, it has been demonstrated [5] that ZRS exist in bilayer systems despite of additional intersubband scattering. Stimulated by experimental findings, theorists have proposed several microscopic mechanisms which reasonably explain non-linear transport caused by microwave excitation [6][7][8][9].A direct current (DC) excitation of high-quality 2DES leads to another group of non-linear phenomena caused by Landau quantization and, therefore, distinct from electron heating effects observed under similar conditions in samples with lower mobilities. The Hall-field induced resistance oscillations (HIROs) are found in numerous experiments [10][11][12][13] and are explained [10,14] in terms of large-angle elastic scattering between Landau levels (LLs) tilted by the Hall field. Further, even a moderate DC causes a considerable decrease of the resistance [15], which in high-quality samples may lead to the zero differential resistance phenomenon. The zero-differential resistance states (ZdRS) found in single-layer systems emerge either from the inverted maxima of Shubnikov-de Haas (SdH) oscillations at relatively high magnetic fields [16] or from a minimum of HIROs [17]. In the second case ZdRS appears at low magnetic fields, before the onset of SdH oscillations, and extends over a continuous range of fields. The two seemingly different regimes, however, are explained within the same model assuming formation of current domains when the negative resistance conditions are reached and homogeneous current picture becomes unstable [18]. In order to learn more about the origin of ZdRS, clear understanding of the domain model is required. In thi...