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199849

Nonlinear Control Technique for Hyperchaotic Complex Nonlinear Systems

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Last updated: 23 Jan 2023

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Abstract

This work presents hyperchaos synchronization between two identical hyperchaotic systems by using nonlinear control
technique. This technique is applied to achieve chaos synchronization for two identical hyperchaotic complex Chen systems. The
idea of hyperchaos synchronization is to use the output of the drive system to control the response system so that the output of the
response system follows the output of the drive system asymptotically. Lyapunov functions are derived to prove that the error systems
are asymptotically stable. Expressions are derived for the control functions which are used to achieve chaos synchronization. Numerical
simulations show the validity of these expressions.

DOI

10.21608/aeta.2013.199849

Keywords

Hyperchaos, synchronization, nonlinear control, Error system, Lyapunov Functions, complex

Authors

First Name

Kholod

Last Name

M. Abualnaja

MiddleName

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Affiliation

Department of Mathematics, Umm Al-Qura University, P.O. Box 14949, Makkah, Kingdom of Saudi Arabia

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First Name

Emad

Last Name

E. Mahmoud

MiddleName

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Affiliation

Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt College of Applied Medical Sciences, Taif University, Turabah, Kingdom of Saudi Arabia

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Volume

2

Article Issue

2

Related Issue

28184

Issue Date

2013-06-01

Receive Date

2021-10-16

Publish Date

2013-06-01

Page Start

1

Page End

5

Print ISSN

2090-9535

Online ISSN

2090-9543

Link

https://aeta.journals.ekb.eg/article_199849.html

Detail API

https://aeta.journals.ekb.eg/service?article_code=199849

Order

199,849

Type

Original Article

Type Code

2,017

Publication Type

Journal

Publication Title

Advanced Engineering Technology and Application

Publication Link

https://aeta.journals.ekb.eg/

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Article

Created At

23 Jan 2023