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A New Chaotic System with Line of Equilibria: Dynamics, Passive Control and Circuit Design

International Journal of Electrical and Computer Engineering (IJECE) · Vol. 9 No. 4 (2019)

DOI
10.11591/ijece.v9i4.pp2336-2345
ISSN
2088-8708, 2088-8708
Published
2019-08-01
Publisher
Institute of Advanced Engineering and Science
License
creativecommons.org/licenses/by-nc/4.0

Abstract

A new chaotic system with line equilibrium is introduced in this paper. This system consists of five terms with two transcendental nonlinearities and two quadratic nonlinearities. Various tools of dynamical system such as phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation diagram and Poincarè map are used. It is interesting that this system has a line of fixed points and can display chaotic attractors. Next, this paper discusses control using passive control method. One example is given to insure the theoretical analysis. Finally, for the new chaotic system, An electronic circuit for realizing the chaotic system has been implemented. The numerical simulation by using MATLAB 2010 and implementation of circuit simulations by using MultiSIM 10.0 have been performed in this study.

Collaboration network of the authors

19 authors · 57 co-authorship links · 25 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Sultan Zainal Abidin University
  • Al-Hussein Bin Talal University
  • Assiut University
  • Sunan Gunung Djati State Islamic University Bandung
  • Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology
  • University of Oxford
  • Lagos State University
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Sundarapandian V. VaidyanathanVel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology7
Yahia AlemamiAl-Hussein Bin Talal University4
Irene M. MorozUniversity of Oxford4
Babatunde A. IdowuLagos State University4
Saleh AtiewiAl-Hussein Bin Talal University3
Muhammad Afendee MohamedSultan Zainal Abidin University3
Hana Ali-PachaAffiliation unknown1
Naïma Hadj-SaidAffiliation unknown1
Adda Ali‐PachaAffiliation unknown1
Mustafa MamatSultan Zainal Abidin University1
Ibrahim A. SholiSultan Zainal Abidin University1
Ali M. Al-GhonmeinAl-Hussein Bin Talal University1
Khaldun G. Al-MoghrabiAl-Hussein Bin Talal University1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2088-8708/works, first harvested 27 Okt 2026, last seen 27 Okt 2026.
Metadata as oai_dc, converted from Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>A New Chaotic System with Line of Equilibria: Dynamics, Passive Control and Circuit Design</dc:title><dc:creator>Sambas, Aceng</dc:creator><dc:creator>Mamat, Mustafa</dc:creator><dc:creator>Arafa, Ayman Ali</dc:creator><dc:creator>Mahmoud, Gamal M</dc:creator><dc:creator>Mohamed, Mohamad Afendee</dc:creator><dc:creator>Sanjaya, W. S. Mada</dc:creator><dc:description>&lt;jats:p&gt;&amp;lt;p&amp;gt;A new chaotic system with line equilibrium is introduced in this paper. This system consists of five terms with two transcendental nonlinearities and two quadratic nonlinearities. Various tools of dynamical system such as phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation diagram and Poincarè map are used. It is interesting that this system has a line of fixed points and can display chaotic attractors. Next, this paper discusses control using passive control method. One example is given to insure the theoretical analysis. Finally, for the  new chaotic system, An electronic circuit for realizing the chaotic system has been implemented. The numerical simulation by using MATLAB 2010 and implementation of circuit simulations by using MultiSIM 10.0 have been performed in this study.&amp;lt;/p&amp;gt;&lt;/jats:p&gt;</dc:description><dc:publisher>Institute of Advanced Engineering and Science</dc:publisher><dc:date>2019-08-01</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.11591/ijece.v9i4.pp2336-2345</dc:identifier><dc:identifier>10.11591/ijece.v9i4.pp2336-2345</dc:identifier><dc:source>International Journal of Electrical and Computer Engineering (IJECE); Vol 9 No 4 (2019); 2336</dc:source><dc:source>2088-8708</dc:source><dc:source>2088-8708</dc:source><dc:relation>http://ijece.iaescore.com/index.php/IJECE/article/viewFile/10866/12522</dc:relation><dc:rights>http://creativecommons.org/licenses/by-nc/4.0</dc:rights></oai_dc:dc>