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Sundarapandian Vaidyanathan
Vel Tech University
Computer Science & IT Electrical & Electronics Engineering

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A New Chaotic System with a Pear-shaped Equilibrium and its Circuit Simulation Aceng Sambas; Sundarapandian Vaidyanathan; Mustafa Mamat; Muhammad Afendee Mohamed; Mada Sanjaya WS
International Journal of Electrical and Computer Engineering (IJECE) Vol 8, No 6: December 2018
Publisher : Institute of Advanced Engineering and Science

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1237.472 KB) | DOI: 10.11591/ijece.v8i6.pp4951-4958

Abstract

This paper reports the finding a new chaotic system with a pear-shaped equilibrium curve and makes a valuable addition to existing chaotic systems with infinite equilibrium points in the literature. The new chaotic system has a total of five nonlinearities. Lyapunov exponents of the new chaotic system are studied for verifying chaos properties and phase portraits of the new system are unveiled. An electronic circuit simulation of the new chaotic system with pear-shaped equilibrium curve is shown using Multisim to check the model feasibility.
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 Babatunde Idowu Irene M. Moroz Mada Sanjaya WS Mohamad Afendee Mohamed Muhammad Afendee Mohamed Mustafa Mamat