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Browsing by Author "Bououden, R."

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    Article
    Citation - WoS: 8
    Citation - Scopus: 8
    A novel fractional piecewise linear map: regular and chaotic dynamics
    (Taylor & Francis Ltd, 2021) Bououden, R.; Jarad, Fahd; Abdelouahab, M. S.; Jarad, F.; Hammouch, Z.; 234808; Matematik
    In this paper, a new piecewise linear map of the plan and its fractional version deduced from the Lozi map is introduced and analysed. The main attention is paid to the study of fixed points and their stability, cycles of period two and their stability regions and the type of bifurcation that occur in the dynamical behaviours of this map. The routes to chaos and some chaotic attractors that exist in the behaviour of the integer map are discussed. Finally, the chaotic behaviour of the associated proposed fractional map is analysed by means of bifurcations diagrams.
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    Article
    Citation - Scopus: 5
    Chaos in new 2-d discrete mapping and its application in optimization
    (InforMath Publishing Group, 2020) Bououden, R.; Jarad, Fahd; Abdelouahab, M.S.; Jarad, F.; 234808; Matematik
    In this paper, we propose a new map which is a combination of the Hénon and Lozi maps. We analyze the proposed map numerically and with the aid of bifurcation plots. On the other hand, and as an example of application of this new map, we are going to use it in the chaotic optimisation algorithm. To prove the efficiency of this map, we use numerical results thorought the paper. © 2020 InforMath Publishing Group