Complexity and dynamic characteristics of a new discrete-time hyperchaotic model

Based on two of the existing one-dimensional chaotic maps and the two-dimensional Hénon map, a new two-dimensional Hénon-Gaussian-Sine model (2D-HGSM) is proposed. Basic dynamic characteristics of the 2D-HGSM are studied from the following three aspects: trajectory, bifurcation diagram and Lyapunov...

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Bibliographic Details
Main Authors: Kadhim, Hayder Natiq, Al-Saidi, Nadia Mohammed Ghanim, Md. Said, Mohamad Rushdan
Format: Conference or Workshop Item
Language:English
Published: IEEE 2017
Online Access:http://psasir.upm.edu.my/id/eprint/36987/1/Complexity%20and%20dynamic%20characteristics%20of%20a%20new%20discrete-time%20hyperchaotic%20model.pdf
http://psasir.upm.edu.my/id/eprint/36987/
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Summary:Based on two of the existing one-dimensional chaotic maps and the two-dimensional Hénon map, a new two-dimensional Hénon-Gaussian-Sine model (2D-HGSM) is proposed. Basic dynamic characteristics of the 2D-HGSM are studied from the following three aspects: trajectory, bifurcation diagram and Lyapunov exponents. The complexity of 2D-HGSM is investigated by means of Approximate entropy. Performance evaluations show that the 2D-HGSM has higher complexity level, better ergodicity, wider chaotic and hyperchaotic region than different chaotic maps. Furthermore, the 2D-HGSM exhibits a qualitatively different chaotic behavior with respect to the variation of its corresponding parameters. Therefore, the 2D-HGSM has good application prospects in secure communication.