Hardware Implementation of a Two-dimensional Fractional Map with Hidden Attractors

Adel Ouannas,Amina Aicha Khennaoui,Viet-Thanh Pham,Giuseppe Grassi,Shaher Momani,Zohir Dibi

doi:10.1109/icfda58234.2023.10153323

Hardware Implementation of a Two-dimensional Fractional Map with Hidden Attractors

Adel Ouannas, Amina Aicha Khennaoui + Show 4 more

https://doi.org/10.1109/icfda58234.2023.10153323

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Publication Date: Mar 14, 2023

Affiliation: Ton Duc Thang University, University of Salento, Ajman University, Larbi Ben M'hidi University of Oum El Bouaghi

#Fractional Map #Two-dimensional Map + Show 8 more

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Abstract

Several efforts have been recently devoted to the hardware implementations of fractional systems. This manuscript makes a contribution to the topic by introducing the first example of hardware implementation of a 2D fractional map with hidden. Specifically, the paper presents first a new class of two-dimensional fractional map with no equilibruim points using the Grunwald-Letnikov difference operator. Then, the system dynamics are analyzed via numerical simulation, such as bifurcation diagrams, Lyapunov exponents and phase portraits. Finally, the paper illustrates a hardware implementation of the 2D fractional map via a microcontroller, with the aim to show the real presence of chaotic hidden attractors in physical systems described by non-integer order maps.

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