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

Ishaq Ahamed, A. ; Srinivasan, K. ; Murali, K. ; Lakshmanan, M. (2011) Observation of chaotic beats in a driven memristive Chua's circuit International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 21 (3). pp. 737-757. ISSN 0218-1274

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Official URL: http://www.worldscinet.com/ijbc/21/2103/S021812741...

Related URL: http://dx.doi.org/10.1142/S0218127411028763

Abstract

In this paper, a time varying resistive circuit realizing 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 modeling as well as statistical analyses have been carried out to observe as well as to understand and verify the mechanism leading to chaotic beats.

Item Type:Article
Source:Copyright of this article belongs to World Scientific Publishing Company.
Keywords:Driven Chua's Circuit; Active Memristors; Piecewise Linear Nonlinearities; Chaotically Time Varying Resistors (CTVR); Residence Times; Switching Frequencies
ID Code:85045
Deposited On:29 Feb 2012 07:06
Last Modified:19 May 2016 01:15

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