Title: String of scrolls from a time-delayed chaotic circuit

Authors: Fadhil Rahma Tahir; Ghaida A. Al-Suhail; Mariam Hussien Abd

Addresses: Department of Electrical Engineering, University of Basrah, Basrah, Iraq ' Department of Electrical Engineering, University of Basrah, Basrah, Iraq ' Department of Electrical Engineering, University of Basrah, Basrah, Iraq

Abstract: Over the last few decades, complex multi-scroll chaotic attractors generated through electronic circuits have considerably been raised. Therefore, this paper concerns the design and implementation of multi-scroll chaotic attractors such as two-scrolls, three-scrolls and four-scrolls generated from a first-order delay differential equation. Modelling a time-delayed feed-back chaotic system considers a simple nonlinearity piecewise-linear (PWL) function to generate the chaotic attractors with an odd/even numbers of scrolls. The delayed feedback consists of a cascade of Bessel filters and the design of a circuit which generates a string of scrolls chaotic attractors depending on the number of intersection points of nonlinearity of PWL function with a state variable. The simulation results reveal that the multiple-scroll chaotic attractors can be successfully reproduced using PSpice. The implementation based on circuitswitching mode with simple components such as resistors, capacitors, and operational amplifiers is also presented.

Keywords: time-delayed chaotic circuits; string of scrolls; feedback circuits; Pspice.

DOI: 10.1504/IJSPM.2018.094736

International Journal of Simulation and Process Modelling, 2018 Vol.13 No.5, pp.463 - 472

Received: 03 Oct 2017
Accepted: 27 Mar 2018
Published online: 14 Sep 2018 *

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