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

页数：14

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