A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis
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 po...
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my-unisza-ir.19972020-11-29T01:36:15Z http://eprints.unisza.edu.my/1997/ A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis Mustafa, Mamat Dolvis, L.G Vaidyanathan, S. Jacques, K Sambas, A. Sukono, . QA Mathematics 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. 2019 Conference or Workshop Item NonPeerReviewed text en http://eprints.unisza.edu.my/1997/1/FH03-FIK-19-35714.pdf 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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QA Mathematics Mustafa, Mamat Dolvis, L.G Vaidyanathan, S. Jacques, K Sambas, A. Sukono, . A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis |
description |
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. |
format |
Conference or Workshop Item |
author |
Mustafa, Mamat Dolvis, L.G Vaidyanathan, S. Jacques, K Sambas, A. Sukono, . |
author_facet |
Mustafa, Mamat Dolvis, L.G Vaidyanathan, S. Jacques, K Sambas, A. Sukono, . |
author_sort |
Mustafa, Mamat |
title |
A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis |
title_short |
A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis |
title_full |
A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis |
title_fullStr |
A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis |
title_full_unstemmed |
A New 4-D Hyperchaotic System with Four-Scroll Hidden Attractor, Its Properties and Bifurcation Analysis |
title_sort |
new 4-d hyperchaotic system with four-scroll hidden attractor, its properties and bifurcation analysis |
publishDate |
2019 |
url |
http://eprints.unisza.edu.my/1997/1/FH03-FIK-19-35714.pdf http://eprints.unisza.edu.my/1997/ |
_version_ |
1685582805413658624 |
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13.18916 |