On the dynamics of a new memristive diode emulator-based Chua’s circuit

Abstract

Abstract The study of nonlinear systems has been the subject of numerous publications. When controlling the symmetry of chaotic oscillators, it has been observed that the symmetrical structure of the diode-bridge memristive emulators is continuously modified to break the symmetry of its current–voltage characteristic. This allows the nature of the symmetry of the oscillator in which they are incorporated to be influenced. In this paper, we present a simple memristive emulator based on simple electronic elements. This new emulator enables a simplified symmetry control method. By varying a control resistor, we modify the symmetry of the current–voltage characteristic of the memristor emulator and thus the symmetry of Chua oscillator in which it is incorporated as nonlinear component. Using dynamical systems analysis tools such as bifurcation diagrams and Lyapunov spectra, we describe how by simply varying a control parameter the symmetry is gradually broken. We highlight striking dynamic properties such as the coexistence of multiple symmetric and asymmetric oscillations and antimonotone bifurcations as well. Laboratory experimental studies are carried out to support the theoretically obtained results.