The growing demand for power and speed in digital computers is hampered by their architecture, Von Neumann architecture, in which the memory unit and the processing unit (CPU) are spatially separated and connected by buses. In order to overcome such limitations, commonly known as Von Neumann Bottleneck, a change in the computing paradigm and new technologies are needed. Taking inspiration from the way our brain is structured and works, a new kind of architecture has been proposed: memory and processing are accomplished in the same physical location, allowing spatio-temporal correlation of information. Thanks to its resistive switching and memory properties, the Memristor, a non-linear two-terminal passive component, is an optimal candidate to mimic the non-linear behaviour of brain synapses, and architectures composed of memristive elements find application in the implementation of Reservoir Computing, by which temporal input can be handled.