Journal article

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

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.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Sambas, A., Vaidyanathan, S., Moroz, I., Idowu, B., Mohamed, M. A., Mamat, M., & Sanjaya, W. S. M. (2021). A simple multi-stable chaotic jerk system with two saddle-foci equilibrium points: analysis, synchronization via active backstepping control and electronic circuit design. International Journal of Electrical and Computer Engineering, 11(4), 2941–2952.

MLA Style

Sambas, A, et al. “A Simple Multi-Stable Chaotic Jerk System with Two Saddle-Foci Equilibrium Points: Analysis, Synchronization via Active Backstepping Control and Electronic Circuit Design.” International Journal of Electrical and Computer Engineering, vol. 11, no. 4, 2021, pp. 2941–52.

Chicago Style

Sambas, A, S Vaidyanathan, I Moroz, et al. 2021. “A Simple Multi-Stable Chaotic Jerk System with Two Saddle-Foci Equilibrium Points: Analysis, Synchronization via Active Backstepping Control and Electronic Circuit Design.” International Journal of Electrical and Computer Engineering 11 (4): 2941–52.
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Files:: 23576-48279-1-PB.pdf

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Publisher copy:: 10.11591/ijece.v11i4.pp2941-2952

Authors

+ Sambas, A More by this author

Role:: Author

+ Vaidyanathan, S More by this author

Role:: Author

+ Moroz, I More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author
ORCID:: 0000-0003-1503-939X

+ Idowu, B More by this author

Role:: Author

+ Mohamed, MA More by this author

Role:: Author

More authors...

Publisher:: Institute of Advanced Engineering and Science
Journal:: International Journal of Electrical and Computer Engineering More from this journal
Volume:: 11
Issue:: 4
Pages:: 2941-2952
Publication date:: 2021-05-12
Acceptance date:: 2021-01-08
DOI:: 10.11591/ijece.v11i4.pp2941-2952
EISSN:: 2088-8708

Language:: English
Keywords:: FFR
Pubs id:: 1122416
Local pid:: pubs:1122416
Deposit date:: 2020-07-29
ARK identifier:: ark:/29072/ora_2964ceee32854ca8923b698fcac3a67c

Terms of use

Copyright holder:: Sambas et al.
Copyright date:: 2021
Rights statement:: Copyright © 2021 The Author(s). This is an open access article published under CC BY SA 4.0.

Licence:: CC Attribution-ShareAlike (CC BY-SA)

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