Control of Switching the Dynamical Modes of a Memristor Based Chaotic Circuit

Abstract

In this work, we consider complex dynamical phenomena in a modified Chua's circuit with a memristive element, we conduct a number of experiments to control its dynamical modes. The circuit model is represented by a fifth-order nonlinear dynamical system. The dynamical properties of the system are investigated in phase space using diagrams displaying bifurcations and regions of periodic and chaotic regimes. The paper presents a new approach to multistability control based on varying the symmetry coefficient of a semi-implicit finite-difference scheme. The results of numerical analysis confirm the suitability of this approach both for the complete suppression of multistability due to the transition to a fixed point or a single chaotic regime, and for fine tuning with access to the attractor of the required periodicity.