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Article information
2026 , Volume 31, ¹ 3, p.40-56
Haneche N., Hamaizia T.
An efficient secure communication based on chaos synchronization of a discrete-time fractional-order financial system
This paper deals with the investigation of chaotic behaviour in a 2D discrete fractional-order financial system. Firstly, based on the Caputo-type difference operator, we have introduced a discrete-time fractional-order financial system. Furthermore, we have established that the proposed fractional-order system is chaotic by adopting several numerical tools, such as strange attractors, bifurcation diagrams, and the maximum Lyapunov exponent spectrum. In addition, the complexity of a discrete-time fractional-order financial system has been measured using the 0–1 test and C0 complexity techniques. Additionally, we have confirmed the existence of chaos in the financial system by utilizing the approximate entropy algorithm. Finally, we have constructed a chaos synchronization scheme based on the stability theory of discretetime fractional-order systems. MATLAB simulations were implemented to apply chaos synchronization in secure communication.
Keywords: Caputo-type operator, chaotic financial system, chaos synchronization, secure communication
Author(s):
Haneche Nabil
Position: Student
Office: Applied Mathematics and Modeling Laboratory University of Mentouri Brothers
Address: 25000, Algiers, Constantine
Phone Office: (213) 0555863348
E-mail: nabil.haneche@doc.umc.edu.dz
Hamaizia Tayeb
Position: Professor
Office: Applied Mathematics and Modeling Laboratory University of Mentouri Brothers
Address: 25000, Algiers, Constantine
Phone Office: (213) 0670220374
E-mail: el.tayyeb@umc.edu.dz
Bibliography link:
Haneche N., Hamaizia T. An efficient secure communication based on chaos synchronization of a discrete-time fractional-order financial system // Computational technologies. 2026. V. 31. ¹ 3. P. 40-56
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