On fractional–order discrete–time systems: Chaos, stabilization and synchronization

•Three fractional-order discrete chaotic maps are proposed.•Important dynamics of three maps are investigated.•A stabilizing strategy is introduced for the proposed maps.•A combined synchronization scheme is presented. In this paper, we propose three systems, namely the fractional Lozi map, the frac...

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Veröffentlicht in:	Chaos, solitons and fractals solitons and fractals, 2019-02, Vol.119, p.150-162
Hauptverfasser:	Khennaoui, Amina-Aicha, Ouannas, Adel, Bendoukha, Samir, Grassi, Giuseppe, Lozi, René Pierre, Pham, Viet-Thanh
Format:	Artikel
Sprache:	eng
Schlagworte:	Chaos control Chaos synchronization Chaotic Dynamics Dynamical Systems Fractional discrete–time calculus Fractional flow map Fractional Lorenz map Fractional Lozi map Mathematics Nonlinear Sciences
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