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29609

A New Method For Synchronization Of A Simple Chaotic systems

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Last updated: 22 Jan 2023

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Abstract

Abstract This paper presents a new algorithm for controlling a class of simple chaotic system that contain only one nonlinear term. Chaos synchronization using parametric controllers is generalized for typical simple chaotic systems based on largest conditional Lyapunov exponents. A more robust and rigorous definition can be given in terms of the Lyapunov exponents. When the Lyapunov exponents for system are all negative, the systems will synchronize. The Pecora -Carroll method is one of the methods for synchronizing chaotic systems. However, the method is restricted to select the driving signals or its configuration. The proposed method does not depend on the choice of the drive signal or its configuration; it depends only on the nonlinear coupling term which makes the largest conditional Lyapunov exponents of the response system negative. The comparison between the implementation of presented method and the Pecora –Carroll(PC) method is explained. Simulations are presented graphically to confirm the validity of the proposed method

DOI

10.21608/icmep.2016.29609

Keywords

Chaotic system, Lyapunov exponents, synchronization, Stability

Authors

First Name

Abdel-Azeem

Last Name

Mohamed

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Affiliation

Faculty of Engineering, Pharos University, Alexandria, Egypt.

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First Name

Samy

Last Name

Darwish

MiddleName

H.

Affiliation

Faculty of Engineering, Pharos University, Alexandria, Egypt.

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Volume

8

Article Issue

International Conference on Mathematics and Engineering Physics (ICMEP-8)

Related Issue

5187

Issue Date

2016-04-01

Receive Date

2019-04-04

Publish Date

2016-04-01

Page Start

1

Page End

16

Print ISSN

2636-431X

Online ISSN

2636-4328

Link

https://icmep.journals.ekb.eg/article_29609.html

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https://icmep.journals.ekb.eg/service?article_code=29609

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2

Type

Original Article

Type Code

830

Publication Type

Journal

Publication Title

The International Conference on Mathematics and Engineering Physics

Publication Link

https://icmep.journals.ekb.eg/

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Article

Created At

22 Jan 2023