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

被引：80
|
作者：
Khennaoui, Amina-Aicha [1 ]
Ouannas, Adel [2 ]
Bendoukha, Samir [3 ]
Grassi, Giuseppe [4 ]
Lozi, Rene Pierre [5 ]
Viet-Thanh Pham [6 ,7 ]
机构：
[1] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria
[2] Univ Larbi Tebessi, Dept Math & Comp Sci, Tebessa 12002, Algeria
[3] Taibah Univ, Coll Engn Yanbu, Elect Engn Dept, Medina, Saudi Arabia
[4] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy
[5] Univ Nice Sophia Antipolis, Dept Math, Nice, France
[6] Phenikaa Univ, PIAS, Fac Elect & Elect Engn, Hanoi 100000, Vietnam
[7] PRATI, A&A Green Phoenix Grp, 167 Hoang Ngan, Hanoi 100000, Vietnam
来源：
CHAOS SOLITONS & FRACTALS | 2019年 / 119卷
关键词：
Fractional discrete-time calculus; Fractional Lozi map; Fractional flow map; Fractional Lorenz map; Chaos control; Chaos synchronization; IMPULSIVE SYNCHRONIZATION; EXPONENTIAL DECAY; CALCULUS; MAPS;
D O I：
10.1016/j.chaos.2018.12.019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we propose three systems, namely the fractional Lozi map, the fractional Lorenz map, and the fractional flow map. We study some of the important dynamics of these maps including the bifurcation graphs. In addition, we propose control laws aimed at stabilizing and synchronizing a combination of these three maps. The convergence of the stabilized states and the synchronization errors is established by means of the linearization method. Numerical simulations are also presented to confirm the main findings of the study. (C) 2018 Elsevier Ltd. All rights reserved.
引用
收藏
页码：150 / 162
页数：13
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