On the mathematical modeling of memcapacitor bridge synapses

Mem-element based synaptic bridge is very promising topic due to its learning capability where the synaptic bridge can be build using either memristors or memcapacitors. In this paper, the detailed mathematical analysis of memcapacitor bridge circuit is introduced. This mathematical analysis is build when a current input signal is applied to excite the bridge. Closed form expressions for the required pulse width; synaptic weight; and conditions for positive, negative and zero synaptic weight are derived. The obtained expressions are verified using SPICE simulations showing very good matching.