On the mathematical modeling of series and parallel memcapacitors

Recently, Memristive elements such as memristor, memcapacitor and meminductors have become very attractive components in many applications, due to its unique behavior which can not be obtained using the other conventional elements. This paper discusses the analytical analysis of two memcapacitors connected in series and in parallel taking the effect of mismatch in mobility factor and polarity of each one. The obtained formulas of instantaneous memcapacitance for each memcapacitor are derived and four special cases are analyzed in more details. The proposed special cases are validated using PSPICE simulations showing a great matching.