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

摘要

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