Mustafa, Mamat and Vaidyanathan, S. and Sambas, A. and Sukono, . and Mada Sanjaya, W.S. (2019) A new 4-D hyperchaotic hyperjerk system with a single equilibrium, its dynamic properties and circuit design. In: 7th International Conference on Global Optimization and Its Application 2018, 30 August 2018, Bali; India.
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Abstract
This paper announces a new four-dimensional hyperchaotic hyperjerk system with a single equilibrium and discusses its dynamic properties such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. Hyperjerk systems have a nice triangular structure in their dynamics and they have many engineering applications. Our new hyperjerk system has three nonlinearities in total. New synchronization results based on active backstepping control are also derived for the new hyperjerk system. In addition, an electronic circuit implementation of the new hyperjerk system is designed carefully and examined well in MultiSIM. A good qualitative agreement has been shown between the MATLAB simulations of the theoretical hyperchaotic hyperjerk model and the MultiSIM results.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Active backstepping control, Circuit implementation ,Engineering applications, Equilibrium point, Hyperjerk systems, Kaplan-Yorke dimensions, Matlab simulations, Triangular structures, |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Informatics & Computing |
| Depositing User: | Muhammad Akmal Azhar |
| Date Deposited: | 29 Nov 2020 01:47 |
| Last Modified: | 29 Nov 2020 01:47 |
| URI: | http://eprints.unisza.edu.my/id/eprint/2003 |
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