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A new 2D Hénon-logistic map for producing hyperchaotic behavior

Derived from the two-dimensional (2D) Hénon map and the one-dimensional (1D) Logistic map, this paper proposes a new 2D hyperchaotic map, called the 2D Hénon-Logistic map (2D-HLM). The dynamics of the 2D-HLM are investigated by means of equilibria, stability analysis, trajectory, Lyapunov exponent,...

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Main Authors: Hussein, Wafaa A., Al-Saidi, Nadia Mohammed Ghanim, Kadhim, Hayder Natiq
Format: Conference or Workshop Item
Language:English
Published: IEEE 2018
Online Access:http://psasir.upm.edu.my/id/eprint/36469/1/A%20new%202D%20H%C3%A9non-logistic%20map%20for%20producing%20hyperchaotic%20behavior.pdf
http://psasir.upm.edu.my/id/eprint/36469/
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spelling my.upm.eprints.364692020-06-16T06:38:02Z http://psasir.upm.edu.my/id/eprint/36469/ A new 2D Hénon-logistic map for producing hyperchaotic behavior Hussein, Wafaa A. Al-Saidi, Nadia Mohammed Ghanim Kadhim, Hayder Natiq Derived from the two-dimensional (2D) Hénon map and the one-dimensional (1D) Logistic map, this paper proposes a new 2D hyperchaotic map, called the 2D Hénon-Logistic map (2D-HLM). The dynamics of the 2D-HLM are investigated by means of equilibria, stability analysis, trajectory, Lyapunov exponent, and bifurcation diagram. Mathematical analysis reveals that the 2D-HLM has four unstable equilibria. Besides that, it has wide chaotic and hyperchaotic behaviors with very limited periodic windows. To evaluate the complexity performance of the 2D-HLM, Approximate entropy is used to analyze its time series. Consequently, the 2D-HLM exhibits extremely complex nonlinear behavior. With all of these attributes, the 2D-HLM would be very appropriate to produce a pseudo-random number generator that can be used in chaos-based cryptographic applications. IEEE 2018 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/36469/1/A%20new%202D%20H%C3%A9non-logistic%20map%20for%20producing%20hyperchaotic%20behavior.pdf Hussein, Wafaa A. and Al-Saidi, Nadia Mohammed Ghanim and Kadhim, Hayder Natiq (2018) A new 2D Hénon-logistic map for producing hyperchaotic behavior. In: 2018 Third Scientific Conference of Electrical Engineering (SCEE), 19-20 Dec. 2018, University of Technology, Baghdad, Iraq. (pp. 265-269). 10.1109/SCEE.2018.8684083
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Derived from the two-dimensional (2D) Hénon map and the one-dimensional (1D) Logistic map, this paper proposes a new 2D hyperchaotic map, called the 2D Hénon-Logistic map (2D-HLM). The dynamics of the 2D-HLM are investigated by means of equilibria, stability analysis, trajectory, Lyapunov exponent, and bifurcation diagram. Mathematical analysis reveals that the 2D-HLM has four unstable equilibria. Besides that, it has wide chaotic and hyperchaotic behaviors with very limited periodic windows. To evaluate the complexity performance of the 2D-HLM, Approximate entropy is used to analyze its time series. Consequently, the 2D-HLM exhibits extremely complex nonlinear behavior. With all of these attributes, the 2D-HLM would be very appropriate to produce a pseudo-random number generator that can be used in chaos-based cryptographic applications.
format Conference or Workshop Item
author Hussein, Wafaa A.
Al-Saidi, Nadia Mohammed Ghanim
Kadhim, Hayder Natiq
spellingShingle Hussein, Wafaa A.
Al-Saidi, Nadia Mohammed Ghanim
Kadhim, Hayder Natiq
A new 2D Hénon-logistic map for producing hyperchaotic behavior
author_facet Hussein, Wafaa A.
Al-Saidi, Nadia Mohammed Ghanim
Kadhim, Hayder Natiq
author_sort Hussein, Wafaa A.
title A new 2D Hénon-logistic map for producing hyperchaotic behavior
title_short A new 2D Hénon-logistic map for producing hyperchaotic behavior
title_full A new 2D Hénon-logistic map for producing hyperchaotic behavior
title_fullStr A new 2D Hénon-logistic map for producing hyperchaotic behavior
title_full_unstemmed A new 2D Hénon-logistic map for producing hyperchaotic behavior
title_sort new 2d hénon-logistic map for producing hyperchaotic behavior
publisher IEEE
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/36469/1/A%20new%202D%20H%C3%A9non-logistic%20map%20for%20producing%20hyperchaotic%20behavior.pdf
http://psasir.upm.edu.my/id/eprint/36469/
_version_ 1671341077347434496
score 13.211869

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