Oscillation with 4-Lobe Chua Corsage Memristor

Abstract

In this paper we propose a new first-order generic memristor, namely, a 4-lobe Chua corsage memristor, as an extension of the 2-lobe Chua corsage memristor. The newly designed corsage memristor exhibits more complex dynamical routes with three stable equilibrium points for which it reveals a higher degree of versatility that the dynamic route changes in response to a change in initial conditions. One of the most important feature of our new memristor is its contiguous DC V-I curve. In contrast, most published highly-nonlinear DC V-I curves have several disconnected branches. Moreover, in this paper, we exploit the properties of the 4-lobe Chua corsage memristor to design an oscillator by connecting the memristor in series with an inductor and a battery. The resulting circuit oscillates about a locallyactive operating point located on the negative slope region of the memristor?s DC V-I curve. We investigate the local activity, edge of chaos, and Hopf bifurcation phenomena and carry out an in-depth analysis of the nonlinear dynamics of the oscillation in our oscillator circuit.