A four-wing hyperchaotic attractor generated based on the Qi chaotic system and its application to high-speed encryption
https://doi.org/10.17586/2220-8054-2025-16-4-395-406
Abstract
Recently, chaos theory and its applications have garnered the attention of many scholars. In this paper, a novel 4D dynamical system that can generate a four-wing hyperchaotic attractor and a double-wing chaotic attractor is presented. The dynamical behavior of this system is investigated using several numerical tools, including bifurcation diagrams, the spectrum of Lyapunov exponents, and phase plots. It is shown that the proposed system has multiple positive Lyapunov exponents for a wide range of parameters, which establishes its hyperchaotic behavior. Additionally, the multistability of this system is analyzed carefully through the coexistence of periodic, chaotic, and hyperchaotic attractors. The hyperchaotic patterns of this system render it suitable for encrypting multimedia data. An efficient, fast, and secure audio cryptographic algorithm is developed based on the hyperchaotic sequences generated from this system. Experimental tests are carried out to verify the performance and security of the proposed encryption method.
Supporting agencies: The authors would like to express their sincere thanks to the editor and the anonymous reviewers for their helpful comments and suggestions.
About the Authors
N. Haneche
University of Mentouri Brothers
Algeria
Algeria
Nabil Haneche - Applied Mathematics and Modeling Laboratory, Department of Mathematics
Constantine, 25000, Algeria
T. Hamaizia
University of Mentouri Brothers
Algeria
Algeria
Tayeb Hamaizia - Mathematical Modeling and Simulation Laboratory, Department of Mathematics
Constantine, 25000, Algeria
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Review
For citations:
Haneche N., Hamaizia T. A four-wing hyperchaotic attractor generated based on the Qi chaotic system and its application to high-speed encryption. Nanosystems: Physics, Chemistry, Mathematics. 2025;16(4):395-406. https://doi.org/10.17586/2220-8054-2025-16-4-395-406
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