A nonlinear memristor device with a three-layer selector includes a memristor in electrical series with a three-layer selector. The memristor comprises at least one electrically conducting layer and at least one electrically insulating layer. The three-layer selector comprises a three-layer structure selected from the group consisting of XN—XO—XN; XN—YO—ZN; XN—YO—XN; XO—XN—XO; XO—YN—XO; XO—YN—ZO; XO—YO—XO; XO—YO—ZO; XN—YN—ZN; and XN—YN—XN, X represents a compound-forming metal different from Y and Z.