The fractional form of a new three-dimensional generalized Henon map

被引：27

作者：

Jouini, Lotfi ^{[1
]}

Ouannas, Adel ^{[1
]}

Khennaoui, Amina-Aicha ^{[2
]}

Wang, Xiong ^{[3
]}

Grassi, Giuseppe ^{[4
]}

Viet-Thanh Pham ^{[5
,6
]}

机构：

[1] Univ Larbi Tebessi, Dept Math & Comp Sci, Tebessa, Algeria

[2] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi, Algeria

[3] Shenzhen Univ, Inst Adv Study, Shenzhen, Peoples R China

[4] Univ Salento, Dipartimento Ingn Innovaz, Lecce, Italy

[5] Phenikaa Univ, PIAS, Fac Elect & Elect Engn, Hanoi, Vietnam

[6] A&A Green Phoenix Grp, Phenikaa Res & Technol Inst PRATI, Hanoi, Vietnam

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

基金：

中国国家自然科学基金;

关键词：

Discrete chaos; Fractional calculus; Generalized Henon map; Stability; Control; Synchronization; STABILITY ANALYSIS; CHAOS; RIEMANN;

D O I：

10.1186/s13662-019-2064-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose a fractional form of a new three-dimensional generalized Henon map and study the existence of chaos and its control. Using bifurcation diagrams, phase portraits and Lyapunov exponents, we show that the general behavior of the proposed fractional map depends on the fractional order. We also present two control schemes for the proposed map, one that adaptively stabilizes the fractional map, and another to achieve the synchronization of the proposed fractional map.

引用

页数：12

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