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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
International Journal of Electrical and Computer Engineering (IJECE) · Vol. 11 No. 4 (2021)
- ISSN
- 2722-2578, 2088-8708
- Published
- 2021-08-01
- Publisher
- Institute of Advanced Engineering and Science
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
Collaboration network of the authors
19 authors · 57 co-authorship links · 25 across different organisations
Hover or tap a name to highlight its co-authors. Double-click to open the author's page.
- Sultan Zainal Abidin University
- Al-Hussein Bin Talal University
- Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology
- University of Oxford
- Lagos State University
- Sunan Gunung Djati State Islamic University Bandung
- Assiut University
- Affiliation unknown
- Different organisations
- Same organisation
- Affiliation unknown
- Thicker line = more joint articles · bigger circle = more articles
Show as table
| Co-author | Organisation | Joint articles |
|---|---|---|
| Yahia Alemami | Al-Hussein Bin Talal University | 4 |
| Muhammad Afendee Mohamed | Sultan Zainal Abidin University | 4 |
| Ayman Ali Arafa | Affiliation unknown | 4 |
| Gamal M. Mahmoud | Assiut University | 4 |
| Saleh Atiewi | Al-Hussein Bin Talal University | 3 |
| Hana Ali-Pacha | Affiliation unknown | 1 |
| Naïma Hadj-Said | Affiliation unknown | 1 |
| Adda Ali‐Pacha | Affiliation unknown | 1 |
| Mustafa Mamat | Sultan Zainal Abidin University | 1 |
| Ibrahim A. Sholi | Sultan Zainal Abidin University | 1 |
| Ali M. Al-Ghonmein | Al-Hussein Bin Talal University | 1 |
| Khaldun G. Al-Moghrabi | Al-Hussein Bin Talal University | 1 |
Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.