35494

A PROPOSED METHOD FOR DETECTING THE CHAOTIC BEHAVIOUR IN DYNAMICAL SYSTEMS

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Last updated: 04 Jan 2025

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Abstract

ABSTRACT
The important step in studying the qualitative behavior of non-linear dynamical
system is how to detect the presence of chaos. There are several methods that used
to determine the presence of chaos signature. This paper presents a proposed
method in detecting the presence of chaos. This method combines two techniques
namely: the normal form analysis and largest Lyapunov exponent (LLE). Computer
programs were generated to investigate these two techniques and the proposed
detecting method. An example was given to furnish the herein given computer
algebra techniques based on real applications. The obtained results in this work
were verified with that published by other researchers. The proposed method can
provide highly active and efficient ability when studying the nature of non-linear
dynamical systems and its chaotic presence.

DOI

10.21608/amme.2014.35494

Keywords

Chaos, Normal form, Largest Lyapunov exponent

Authors

First Name

A.

Last Name

Mohamed

MiddleName

A.

Affiliation

Faculty of Engineering, Pharos University, Alexandria, Egypt.

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Orcid

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First Name

S.

Last Name

Darwish

MiddleName

H.

Affiliation

Faculty of Engineering, Pharos University, Alexandria, Egypt.

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Volume

16

Article Issue

16th International Conference on Applied Mechanics and Mechanical Engineering.

Related Issue

5848

Issue Date

2014-05-01

Receive Date

2019-06-18

Publish Date

2014-05-01

Page Start

1

Page End

13

Print ISSN

2636-4352

Online ISSN

2636-4360

Link

https://amme.journals.ekb.eg/article_35494.html

Detail API

https://amme.journals.ekb.eg/service?article_code=35494

Order

12

Type

Original Article

Type Code

831

Publication Type

Journal

Publication Title

The International Conference on Applied Mechanics and Mechanical Engineering

Publication Link

https://amme.journals.ekb.eg/

MainTitle

A PROPOSED METHOD FOR DETECTING THE CHAOTIC BEHAVIOUR IN DYNAMICAL SYSTEMS

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Article

Created At

22 Jan 2023