String of scrolls from a time-delayed chaotic circuit. (2018)

• Record Type: Journal Article
• Authors: Tahir, Fadhil Rahma; Al-Suhail, Ghaida A.; Abd, Mariam Hussien
• Is Part Of: International journal of simulation and process modelling. Volume 13:Number 5(2018)
• Page Start: 463
• Page End: 472
• Publication Date: 2018
• Subjects: time-delayed chaotic circuits -- string of scrolls -- feedback circuits -- Pspice; Management -- Computer simulation -- Periodicals; Mathematical models -- Periodicals; Operations research -- Periodicals; Simulation methods -- Periodicals; 003.05
• Languages: English
• ISSNs: 1740-2123

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.