Measurements in GaAs hole bilayers with unequal layer densities reveal a pronounced magnetoresistance hysteresis at the magnetic field positions where either the majority or minority layer is at Landau level filling factor one. At a fixed field in the hysteretic regions, the resistance exhibits an unusual time dependence, consisting of random, bidirectional jumps followed by slow relaxations. These anomalies are apparently caused by instabilities in the charge distribution of the two layers.PACS numbers: 71.70.Ej, 73.43.Qt Hysteretic phenomena are widespread in nature. They are common magnetic materials, and often indicate a non-equilibrium situation associated with a phase transition and the presence of domains [1]. Recently, hysteresis has also been reported in various two-dimensional (2D) carrier systems in semiconductor structures at low temperatures and high magnetic fields [2,3,4,5,6,7]. In these cases, magneto-resistance (ρ xx ) hysteresis appears in the quantum Hall (QH) regime when two Landau levels (LLs) with opposite spin are brought into coincidence. While the 2D systems studied have been notably different, the common thread in these experiments is that there is a magnetic transition involving the carrier spin [8].Here we present hysteretic ρ xx data in 2D bilayer systems in the QH regime. The hysteresis in these systems has a different origin and is caused by a non-equilibrium charge distribution in the two layers. We studied the magneto-transport coefficients of GaAs bilayer hole systems with unequal layer densities. When the interlayer tunneling is sufficiently small, ρ xx of the bilayer system exhibits a pronounced hysteresis at perpendicular magnetic field (B) positions close to where either the majority or minority layer is at LL filling factor one. Most remarkable is the time dependence of ρ xx at a fixed field in the hysteretic regime, when the two layers are closely spaced. As a function of time, ρ xx exhibits large, random, sudden jumps toward higher and lower values, followed by a slow decay in the opposite direction. The data may signal an instability in the charge distribution of the two layers, i.e., an instability associated with the pseudospin (layer), rather than spin, degree of freedom.We studied nine GaAs bilayer hole samples from six different wafers, all grown on GaAs (311)A substrates and modulation doped with Si. In all samples, the holes are confined to two 15nm-wide GaAs quantum wells which are separated by AlAs or AlAs/AlGaAs barriers with thickness 7.5 ≤ W ≤ 200nm. The rather thick barrier combined with the large effective mass of GaAs 2D holes [9] reduces considerably the tunneling between the two layers [10]. As grown, the samples have layer densities of ≤ 7 × 10 10 cm −2 , and low temperature (T ) mobilities of ∼ 35 m 2 /Vs. Metallic top and bottom gates were added to control the densities in the layers. We studied several types of devices, including 2.5×2.5mm square samples and ones with patterned Hall bars; in these samples the ohmic contacts contact both layers. ...