A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design

Author: 

Sambas, A
Vaidyanathan, S
Moroz, I
Idowu, B
Mohamed, M
Mamat, M
Sanjaya, W

Publication Date: 

12 May 2021

Journal: 

International Journal of Electrical and Computer Engineering

Last Updated: 

2021-08-08T20:51:40.797+01:00

Issue: 

4

Volume: 

11

DOI: 

10.11591/ijece.v11i4.pp2941-2952

page: 

2941-2952

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.

Symplectic id: 

1122416

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article