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Different dimensional fractional-order discrete chaotic systems based on the Caputo h-difference discrete operator: dynamics, control, and synchronization

Article scientifique 2020 Anglais

Résumé

Abstract The paper investigates control and synchronization of fractional-order maps described by the Caputo h -difference operator. At first, two new fractional maps are introduced, i.e., the Two-Dimensional Fractional-order Lorenz Discrete System (2D-FoLDS) and Three-Dimensional Fractional-order Wang Discrete System (3D-FoWDS). Then, some novel theorems based on the Lyapunov approach are proved, with the aim of controlling and synchronizing the map dynamics. In particular, a new hybrid scheme is proposed, which enables synchronization to be achieved between a master system based on a 2D-FoLDS and a slave system based on a 3D-FoWDS. Simulation results are reported to highlight the effectiveness of the conceived approach.

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Talbi, I., Ouannas, A., Khennaoui, A., Berkane, A., Batiha, I., Grassi, G., Pham, V. (2020). Different dimensional fractional-order discrete chaotic systems based on the Caputo h-difference discrete operator: dynamics, control, and synchronization. https://doi.org/10.1186/s13662-020-03086-x

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Auteur(s)

Ibtissem Talbi Adel Ouannas Amina–Aicha Khennaoui Abdelhak Berkane Iqbal M. Batiha Giuseppe Grassi Viet–Thanh Pham

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