Mustafa, Mamat and Dolvis, L.G and Vaidyanathan, S. and Jacques, K and Sambas, A. and Sukono, . (2019) A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis. 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 system with a four-scroll attractor and discusses its dynamic properties such as Lyapunov exponents, phase portraits, Kaplan-Yorke dimension and equilibrium points. Our calculations show that the new hyperchaotic system has no equilibrium point and hence it exhibits hidden attractor. Our new hyperchaotic system has three nonlinearities in total. A detailed bifurcation analysis has been presented for the new hyperchaotic system with four-scroll hidden attractor. Specifically, we discussed bifurcation analysis such as route to four-scroll hyperchaos, coexisting bifurcation, multistability, two parameter Lyapunov exponents and antimonotonicity.
| Item Type: | Conference or Workshop Item (Paper) |
|---|---|
| Uncontrolled Keywords: | Anti-monotonicity, Bifurcation analysis, Equilibrium point, Hyper-chaotic systems, Kaplan-Yorke dimensions, Lyapunov exponent, Multi stabilities, New hyperchaotic systems |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Informatics & Computing |
| Depositing User: | Muhammad Akmal Azhar |
| Date Deposited: | 29 Nov 2020 01:36 |
| Last Modified: | 29 Nov 2020 01:36 |
| URI: | http://eprints.unisza.edu.my/id/eprint/1997 |
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