Dynamical Analysis of a New Chaotic Fractional Discrete-Time System and Its Control

被引：6

作者：

Almatroud, A. Othman ^{[1
]}

Khennaoui, Amina-Aicha ^{[2
]}

Ouannas, Adel ^{[3
]}

Grassi, Giuseppe ^{[4
]}

Al-sawalha, M. Mossa ^{[1
]}

Gasri, Ahlem ^{[5
]}

机构：

[1] Univ Hail, Fac Sci, Dept Math, Hail 81451, Saudi Arabia

[2] Univ Larbi Ben Mhidi, Lab Dynam Syst & Control, Oum El Bouaghi 04000, Algeria

[3] Univ Larbi Ben Mhidi, Dept Math & Comp Sci, Oum El Bouaghi 04000, Algeria

[4] Univ Salento, Dipartimento Ingn Innovaz, I-73100 Lecce, Italy

[5] Univ Larbi Tebessi, Dept Math, Tebessa 12002, Algeria

来源：

ENTROPY | 2020年 / 22卷 / 12期

关键词：

chaos; discrete fractional calculus; coexisting attractors; 0– 1; test; entropy; control; INITIAL-VALUE PROBLEMS; KERNEL; MAP;

D O I：

10.3390/e22121344

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This article proposes a new fractional-order discrete-time chaotic system, without equilibria, included two quadratic nonlinearities terms. The dynamics of this system were experimentally investigated via bifurcation diagrams and largest Lyapunov exponent. Besides, some chaotic tests such as the 0-1 test and approximate entropy (ApEn) were included to detect the performance of our numerical results. Furthermore, a valid control method of stabilization is introduced to regulate the proposed system in such a way as to force all its states to adaptively tend toward the equilibrium point at zero. All theoretical findings in this work have been verified numerically using MATLAB software package.

引用

页码：1 / 19

页数：19

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