Variable cubic-polynomial memristor based canonical Chua’s chaotic circuit

Abstract

In this letter, the Chua’s circuit with an active variable memristor is presented for the first time. The central concept behind the variable memristor is that its memductance could be controlled by changing the cubic function which describes a relationship between the flux and charge of the memristor. It was found that chaotic dynamics of the variable-memristor-based Chua’s circuit could be easily controlled according to the memductance profile of the memristor. The controllable chaotic dynamics in the circuit were studied thoroughly by the numerical analysis. The rich dynamics of the Chua’s circuit using the proposed variable memristor were verified in terms of the time series, frequency spectra, phase states, bifurcation and Lyapunov exponents. These results were also confirmed by laboratory experiments.