Electronic implementation of a new secure communication system based on the Lü hyperchaotic system

Fadia Zouad; Manal Messadi; Karim Kemih; Ahmad Taher Azar; Saim Ahmed; Ahmed Redha Mahlous; Fadia Zouad; Manal Messadi; Karim Kemih; Ahmad Taher Azar; Saim Ahmed; Ahmed Redha Mahlous

doi:10.3934/math.2026165

AIMS Mathematics

2026, Volume 11, Issue 2: 4098-4122. doi: 10.3934/math.2026165

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Electronic implementation of a new secure communication system based on the Lü hyperchaotic system

1.
Electronics Research Laboratory, University of 20 August 1955, Skikda, Algeria
2.
L2EI Laboratory, Mohamed Seddik Benyahia University, Jijel, Algeria
3.
College of Computer and Information Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
4.
Automated Systems and Computing Lab (ASCL), Prince Sultan University, Riyadh, Saudi Arabia

Received: 11 December 2025 Revised: 22 January 2026 Accepted: 30 January 2026 Published: 10 February 2026
MSC : 34H10, 93C10, 93D05, 94A60

This paper presents the design of a novel secure communication system based on the dynamics of the Lü hyperchaotic system. In the proposed scheme, the information signal is directly embedded into the hyperchaotic trajectories, ensuring a high level of data concealment. To achieve accurate synchronization between the transmitter and the receiver, a predictive control strategy combined with chaotic modulation is employed. This synchronization mechanism enables precise recovery of the embedded information signal. To evaluate the feasibility and robustness of the proposed cryptosystem, a dual validation framework is adopted. Numerical simulations are carried out using MATLAB/Simulink, and hardware-oriented simulations are performed using Multisim. The strong agreement between the numerical and circuit-level results confirms both the effectiveness and the reliability of the proposed approach. Overall, this work demonstrates the significant potential of hyperchaotic systems for secure communication applications.
- chaotic behavior,
- circuit implementation,
- predictive control,
- cryptosystem design
Citation: Fadia Zouad, Manal Messadi, Karim Kemih, Ahmad Taher Azar, Saim Ahmed, Ahmed Redha Mahlous. Electronic implementation of a new secure communication system based on the Lü hyperchaotic system[J]. AIMS Mathematics, 2026, 11(2): 4098-4122. doi: 10.3934/math.2026165

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Abstract

This paper presents the design of a novel secure communication system based on the dynamics of the Lü hyperchaotic system. In the proposed scheme, the information signal is directly embedded into the hyperchaotic trajectories, ensuring a high level of data concealment. To achieve accurate synchronization between the transmitter and the receiver, a predictive control strategy combined with chaotic modulation is employed. This synchronization mechanism enables precise recovery of the embedded information signal. To evaluate the feasibility and robustness of the proposed cryptosystem, a dual validation framework is adopted. Numerical simulations are carried out using MATLAB/Simulink, and hardware-oriented simulations are performed using Multisim. The strong agreement between the numerical and circuit-level results confirms both the effectiveness and the reliability of the proposed approach. Overall, this work demonstrates the significant potential of hyperchaotic systems for secure communication applications.

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