1. A memristor apparatus, comprising: a plurality of meta-stable switching elements, wherein said plurality of meta-stable switching elements forms a device with an electrical resistance; and an AHAH (Anti-Hebbian and Hebbian) feedback mechanism that operates on said plurality of meta-stable switching elements by controlling an electric field across said plurality of meta-stable switching elements; and a synapse apparatus comprising a differential pair of memristor apparatuses including said memristor apparatus.