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


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).


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.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1109/SCEE.2018.8684083
Publisher: IEEE
Keywords: Equilibria; Stability analysis; Lyapunov exponents; Hyperchaotic behavior; Approximate entropy
Depositing User: Nabilah Mustapa
Date Deposited: 16 Jun 2020 06:38
Last Modified: 16 Jun 2020 06:38
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/SCEE.2018.8684083
URI: http://psasir.upm.edu.my/id/eprint/36469
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