Generating Hyperchaotic Attractor via the Sprott B System and Its Application in Highly Secure Voice Encryption

This paper presents a new 4D system constructed based on the well-known Sprott B system and characterized by high complexity. This system can display chaotic, hyperchaotic, periodic, and quasi-periodic behaviors for some parameter values. The findings demonstrate that the novel system can exhibit multistability and different coexisting attractors. Additionally, the study used Lyapunov exponents, bifurcation diagrams, stability of equilibrium points, dissipativity, phase plots, dynamical maps, and Poincare sections to analyze the dynamical characteristics of this system. Since the novel 4D system is very advantageous for chaos-based applications due to its hyperchaotic dynamics and multistability, an efficient voice encryption scheme that uses the proposed hyperchaotic system in secure voice transmission is presented. Experiments and tests are carried out to evaluate the performance and security of the proposed encryption scheme against various attacks. The simulation results demonstrate the robustness of our voice cryptosystem against cryptographic attacks.

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Publication Details

Journal
Universal Journal of Mathematics and Applications
Published
2025-09-05
DOI
https://doi.org/10.32323/ujma.1684079
Citations
1
Primary Topic
Chaos control and synchronization
Type
article
Field-Weighted Citation Impact
1.32
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article

Generating Hyperchaotic Attractor via the Sprott B System and Its Application in Highly Secure Voice Encryption

Tayeb Hamaizia, Haneche Nabil
1 citations
Universal Journal of Mathematics and Applications
Chaos control and synchronization
1.32
article

Generating Hyperchaotic Attractor via the Sprott B System and Its Application in Highly Secure Voice Encryption

Tayeb Hamaizia, Haneche Nabil
article en
1 citations

Abstract

This paper presents a new 4D system constructed based on the well-known Sprott B system and characterized by high complexity. This system can display chaotic, hyperchaotic, periodic, and quasi-periodic behaviors for some parameter values. The findings demonstrate that the novel system can exhibit multistability and different coexisting attractors. Additionally, the study used Lyapunov exponents, bifurcation diagrams, stability of equilibrium points, dissipativity, phase plots, dynamical maps, and Poincare sections to analyze the dynamical characteristics of this system. Since the novel 4D system is very advantageous for chaos-based applications due to its hyperchaotic dynamics and multistability, an efficient voice encryption scheme that uses the proposed hyperchaotic system in secure voice transmission is presented. Experiments and tests are carried out to evaluate the performance and security of the proposed encryption scheme against various attacks. The simulation results demonstrate the robustness of our voice cryptosystem against cryptographic attacks.

Universal Journal of Mathematics and ApplicationsVol. 8(3)
University Frères Mentouri Constantine 1 (DZ)
Openalex Percentile: Top 16%
Chaos control and synchronization
1.32
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