Generalized and inverse generalized synchronization of fractional-order discrete-time chaotic systems with non-identical dimensions

被引：17
|
作者：
Khennaoui, Amina-Aicha [1 ]
Ouannas, Adel [2 ]
Bendoukha, Samir [3 ]
Grassi, Giuseppe [4 ]
Wang, Xiong [5 ]
Viet-Thanh Pham [6 ]
机构：
[1] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria
[2] Tebessa Univ, Math & Comp Sci Dept, Tebessa, Algeria
[3] Taibah Univ, Dept Elect Engn, Coll Engn, Yanbu, Saudi Arabia
[4] Univ Salento, Dipartimento Ingn Innovaz, Lecce, Italy
[5] Shenzhen Univ, Inst Adv Study, Shenzhen, Peoples R China
[6] Ton Duc Thang Univ, Fac Elect & Elect Engn, Modeling Evolutionary Algorithms Simulat & Artifi, Ho Chi Minh City, Vietnam
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
关键词：
Discrete chaos; Discrete fractional calculus; Generalized synchronization; Inverse generalized synchronization; Different dimensions; IMPULSIVE SYNCHRONIZATION; STABILITY ANALYSIS; DYNAMICAL-SYSTEMS; HYPERCHAOS; RIEMANN; MAPS;
D O I：
10.1186/s13662-018-1764-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce two approaches to the generalized synchronized synchronization and the inverse generalized synchronization of fractional discrete-time chaotic systems with non-identical dimensions. The convergence of the proposed approaches is established by means of recently developed stability theory. Numerical results are presented based on well-known maps in the literature. Two examples are considered: a 3D generalized synchronization and a 2D inverse generalized synchronization.
引用
收藏
页数：14
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