MATHEMATICS

A four-wing hyperchaotic attractor generated based on the Qi chaotic system and its application to high-speed encryption

N. Haneche^a, T. Hamaizia<sup>b

a</sup> Applied Mathematics and Modeling Laboratory, Department of Mathematics, University of Mentouri Brothers, Constantine, 25000, Algeria
^b Mathematical Modeling and Simulation Laboratory, Department of Mathematics, University of Mentouri Brothers, Constantine, 25000, Algeria

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.

Keywords: Hyperchaotic system, Four-wing attractor, Multistability, Audio encryption.

Received: 12.04.2025
Revised: 29.05.2025
Accepted: 30.05.2025

Language: English

DOI: 10.17586/2220-8054-2025-16-4-395-406

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