Study of two-memristor circuit model with explicit composition method

This paper covers two important fields of research: composition ODE solvers and memristor-based circuit simulation. We considered a simple two-memristor chaotic circuit based on HP memristor model. A normalized ODE system is given as a mathematical model of the circuit. A finite-difference scheme obtained by new semi-explicit composition numerical method is represented. Phase space of the memristor circuit model and two high resolution dynamical maps are given as experimental findings. Backward error analysis for several numerical integration methods is described for the considered system.