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

Abstract


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.

Keywords


backstepping control; chaotic system; electronic circuit; jerk system; synchronization;



DOI: http://doi.org/10.11591/ijece.v11i4.pp%25p
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International Journal of Electrical and Computer Engineering (IJECE)
p-ISSN 2088-8708, e-ISSN 2722-2578