386816

Circuit realization, chaos synchronization and estimation of parameters of a hyperchaotic system with unknown parameters

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Last updated: 05 Jan 2025

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Abstract

In this article, the adaptive chaos synchronization technique is implemented by an electronic
circuit and applied to the hyperchaotic system proposed by Chen et al. We consider the more
realistic and practical case where all the parameters of the master system are unknowns. We propose
and implement an electronic circuit that performs the estimation of the unknown parameters and
the updating of the parameters of the slave system automatically, and hence it achieves the synchronization. To the best of our knowledge, this is the first attempt to implement a circuit that estimates the values of the unknown parameters of chaotic system and achieves synchronization. The proposed circuit has a variety of suitable real applications related to chaos encryption and cryptography. The outputs of the implemented circuits and numerical simulation results are shown to view the performance of the synchronized system and the proposed circuit.

Keywords

Hyperchaos, Adaptive synchronization, Circuit implementation, Unknown system parameters

Authors

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A.

Last Name

Elsonbaty

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Affiliation

Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt

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First Name

A.

Last Name

Elsaid

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Affiliation

Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt

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Orcid

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First Name

H.M.

Last Name

Nour

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-

Affiliation

Mathematics & Engineering Physics Department, Faculty of Engineering, Mansoura University, PO 35516, Mansoura, Egypt

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Volume

22

Article Issue

3

Related Issue

50857

Issue Date

2014-10-01

Receive Date

2013-10-04

Publish Date

2014-10-01

Page Start

550

Page End

557

Print ISSN

1110-256X

Online ISSN

2090-9128

Link

https://joems.journals.ekb.eg/article_386816.html

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https://joems.journals.ekb.eg/service?article_code=386816

Order

386,816

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Circuit realization, chaos synchronization and estimation of parameters of a hyperchaotic system with unknown parameters

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Article

Created At

21 Dec 2024