Browsing by Author "Khennaoui, Amina-Aicha"

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Citation Count: Talbi, Ibtissem...et al. (2020). "Fractional Grassi–Miller map based on the Caputo H-difference operator: Linear methods for chaos control and synchronization", Discrete Dynamics in Nature and Society, Vol. 2020.
Fractional Grassi–Miller map based on the Caputo H-difference operator: Linear methods for chaos control and synchronization
(2020) Talbi, Ibtissem; Ouannas, Adel; Grassi, Giuseppe; Khennaoui, Amina-Aicha; Pham, Viet-Thanh; Baleanu, Dumitru; 56389
Investigating dynamic properties of discrete chaotic systems with fractional order has been receiving much attention recently. This paper provides a contribution to the topic by presenting a novel version of the fractional Grassi–Miller map, along with improved schemes for controlling and synchronizing its dynamics. By exploiting the Caputo h-difference operator, at first, the chaotic dynamics of the map are analyzed via bifurcation diagrams and phase plots. Then, a novel theorem is proved in order to stabilize the dynamics of the map at the origin by linear control laws. Additionally, two chaotic fractional Grassi–Miller maps are synchronized via linear controllers by utilizing a novel theorem based on a suitable Lyapunov function. Finally, simulation results are reported to show the effectiveness of the approach developed herein. Copyright © 2020 Ibtissem Talbi et al.
Citation Count: Khennaoui, Amina-Aicha...et al. (2021). "HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM", Fractals, Vol. 29, No. 8.
HYPERCHAOTIC DYNAMICS of A NEW FRACTIONAL DISCRETE-TIME SYSTEM
(2021) Khennaoui, Amina-Aicha; Ouannas, Adel; Momani, Shaher; Dibi, Zohir; Grassi, Giuseppe; Baleanu, Dumitru; Pham, Viet-Thanh; 56389
In recent years, some efforts have been devoted to nonlinear dynamics of fractional discrete-Time systems. A number of papers have so far discussed results related to the presence of chaos in fractional maps. However, less results have been published to date regarding the presence of hyperchaos in fractional discrete-Time systems. This paper aims to bridge the gap by introducing a new three-dimensional fractional map that shows, for the first time, complex hyperchaotic behaviors. A detailed analysis of the map dynamics is conducted via computation of Lyapunov exponents, bifurcation diagrams, phase portraits, approximated entropy and C0 complexity. Simulation results confirm the effectiveness of the approach illustrated herein. © 2021 The Author(s).