Volterra model of a class of two-memristor circuits

The Volterra series approach represents a powerful theoretical tool to model the dynamical behaviour of nonlinear systems. In principle this paradigm characterizes completely the dynamics of a system upon specification of an infinite set of kernels. In practical implementations only a finite set of kernels may be considered. The accuracy level of the Volterra seriesbased modelling depends on the number of elements in this set. The system output is then expanded as a finite algebraic sum of multi-dimensional convolution integrals involving system input and kernels. Memristors are nonlinear dynamical devices which promise to improve and/or extend the functionalities of state-ofthe- art electronic systems. However, classical circuit and system theory techniques for modelling linear devices are not suitable for them. The Volterra series paradigm has been recently adopted to model a class of one-memristor circuits. In this work the technique is extended to the analytical representation of twomemristor circuits. The agreement between Volterra series-based predictions and numerical integration results on an exemplary circuit from the class provides evidence for the accuracy of the modelling paradigm.