Control and adaptive modified function projective synchronization of different hyperchaotic dynamical systems

被引：4

作者：

El-Dessoky, M. M. ^{[1
,2
]}

Almohammadi, Nehad ^{[1
,3
]}

Alzahrani, Ebraheem ^{[1
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

[3] Umm Al Qura Univ, Jamoum Univ Coll, Mecca, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 10期

关键词：

adaptive control; modified function projective synchronization; error dynamical system; Liu hyperchaotic; Chen hyperchaotic; CHAOTIC SYSTEMS; GENERALIZED SYNCHRONIZATION; FEEDBACK STABILIZATION;

D O I：

10.3934/math.20231201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we consider an adaptive control method, which is simpler and generalized to obtain some conditions on the parameters for hyperchaotic models determined by using a Lyapunov direct method. Further, an adaptive controller for synchronization is designed by using Lyapunov functions by which the deriving system and the response system can realize adaptive modified function projective synchronization up to scaling matrix. Numerical simulation of each system is discussed in detail with graphical results. The graphical results are presented in detail in order to validate the theoretical results. These results in this article generalize and improve the corresponding results of the recent works.

引用

页码：23621 / 23634

页数：14

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