Observation of chaotic beats in a driven memristive Chua's circuit

TL;DR

This paper reports the observation of chaotic beats in a driven memristive Chua's circuit, demonstrating complex interactions between memristor switching and external forcing through simulations and modeling.

Contribution

It introduces a memristor-based driven Chua's circuit exhibiting chaotic beats, combining experimental modeling with numerical analysis to understand the phenomenon.

Findings

Chaotic beats occur due to interaction of memristor switching and external forcing.

Tuning frequencies leads to amplitude revivals and collapses.

Numerical and Multisim simulations verify the mechanism.

Abstract

In this paper, a time varying resistive circuit realising the action of an active three segment piecewise linear flux controlled memristor is proposed. Using this as the nonlinearity, a driven Chua's circuit is implemented. The phenomenon of chaotic beats in this circuit is observed for a suitable choice of parameters. The memristor acts as a chaotically time varying resistor (CTVR), switching between a less conductive OFF state and a more conductive ON state. This chaotic switching is governed by the dynamics of the driven Chua's circuit of which the memristor is an integral part. The occurrence of beats is essentially due to the interaction of the memristor aided self oscillations of the circuit and the external driving sinusoidal forcing. Upon slight tuning/detuning of the frequencies of the memristor switching and that of the external force, constructive and destructive interferences occur leading to revivals and collapses in amplitudes of the circuit variables, which we refer as chaotic beats. Numerical simulations and Multisim modelling as well as statistical analyses have been carried out to observe as well as to understand and verify the mechanism leading to chaotic beats.