Study of two-memcapacitor circuit model with semi-explicit ODE solver

Abstract

This article discusses software tools for studying non-linear dynamical systems. For a detailed analysis of the behavior of chaotic systems stepsize-parameter diagrams are introduced. A new self-adjoint semi-explicit algorithm for the numerical integration of differential equations is described. Two modifications of the proposed method are represented. A two-memcapacitor circuit is selected as a test dynamical system. Symmetry, accuracy and performance analysis of semi-explicit extrapolation ODE solver are considered in a series of computational experiments. Phase space of the two-memcapacitor circuit model, stepsize-parameter diagrams and dynamical maps are given as experimental findings.

Keywords

• software for bifurcation analysis
• dynamical chaos
• nonlinear dynamics
• memcapacitor circuit
• numerical integration tools
• memristive systems