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Babatunde Idowu
Lagos State University
Computer Science & IT Electrical & Electronics Engineering

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A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via backstepping technique and MultiSim circuit design Aceng Sambas; Sundarapandian Vaidyanathan; Irene M. Moroz; Babatunde Idowu; Mohamad Afendee Mohamed; Mustafa Mamat; W. S. Mada Sanjaya
International Journal of Electrical and Computer Engineering (IJECE) Vol 11, No 4: August 2021
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.11591/ijece.v11i4.pp2941-2952

Abstract

This paper announces a new three-dimensional chaotic jerk system with two saddle-focus equilibrium points and gives a dynamic analysis of the properties of the jerk system such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. By modifying the Genesio-Tesi jerk dynamics (1992), a new jerk system is derived in this research study. The new jerk model is equipped with multistability and dissipative chaos with two saddle-foci equilibrium points. By invoking backstepping technique, new results for synchronizing chaos between the proposed jerk models are successfully yielded. MultiSim software is used to implement a circuit model for the new jerk dynamics. A good qualitative agreement has been shown between the MATLAB simulations of the theoretical chaotic jerk model and the MultiSIM results
Co-Authors Aceng Sambas Irene M. Moroz Mada Sanjaya WS Mohamad Afendee Mohamed Mustafa Mamat Sundarapandian Vaidyanathan