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A six-term novel chaotic system with hidden attractor and its circuit design

In this work, we propose a six-term novel 3D chaotic system with hidden attractor. The novel 3D chaotic system consists of sic terms and two quadratic nonlinearities. We show that the novel chaotic system has no equilibrium point and hence it exhibits hidden attractor. A detailed qualitative analysi...

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Main Author: Mamat, Prof. Dr. Mustafa
Format: Book Section
Language:English
Published: Springer International Publishing 2018
Subjects:
QA75 Electronic computers. Computer science
Online Access:http://eprints.unisza.edu.my/3718/1/FH05-FIK-18-13568.pdf
http://eprints.unisza.edu.my/3718/
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spelling my-unisza-ir.37182022-01-10T03:18:43Z http://eprints.unisza.edu.my/3718/ A six-term novel chaotic system with hidden attractor and its circuit design Mamat, Prof. Dr. Mustafa QA75 Electronic computers. Computer science In this work, we propose a six-term novel 3D chaotic system with hidden attractor. The novel 3D chaotic system consists of sic terms and two quadratic nonlinearities. We show that the novel chaotic system has no equilibrium point and hence it exhibits hidden attractor. A detailed qualitative analysis of the 3D chaotic system is presented such as phase portrait analysis, Lyapunov exponents, bifurcation diagram and Poincare map. The mathematical model of the novel chaotic system is accompanied by an electrical circuit implementation, demostrating chaotic behavior of the strange attractor. Finally, the circuit experimental results of the chaotic attractors show agreement with numerical simulations. Springer International Publishing 2018 Book Section NonPeerReviewed text en http://eprints.unisza.edu.my/3718/1/FH05-FIK-18-13568.pdf Mamat, Prof. Dr. Mustafa (2018) A six-term novel chaotic system with hidden attractor and its circuit design. In: Studies in Systems, Decision and Control. Springer International Publishing, pp. 365-373. ISBN 21984182
institution Universiti Sultan Zainal Abidin
building UNISZA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sultan Zainal Abidin
content_source UNISZA Institutional Repository
url_provider https://eprints.unisza.edu.my/
language English
topic QA75 Electronic computers. Computer science
spellingShingle QA75 Electronic computers. Computer science
Mamat, Prof. Dr. Mustafa
A six-term novel chaotic system with hidden attractor and its circuit design
description In this work, we propose a six-term novel 3D chaotic system with hidden attractor. The novel 3D chaotic system consists of sic terms and two quadratic nonlinearities. We show that the novel chaotic system has no equilibrium point and hence it exhibits hidden attractor. A detailed qualitative analysis of the 3D chaotic system is presented such as phase portrait analysis, Lyapunov exponents, bifurcation diagram and Poincare map. The mathematical model of the novel chaotic system is accompanied by an electrical circuit implementation, demostrating chaotic behavior of the strange attractor. Finally, the circuit experimental results of the chaotic attractors show agreement with numerical simulations.
format Book Section
author Mamat, Prof. Dr. Mustafa
author_facet Mamat, Prof. Dr. Mustafa
author_sort Mamat, Prof. Dr. Mustafa
title A six-term novel chaotic system with hidden attractor and its circuit design
title_short A six-term novel chaotic system with hidden attractor and its circuit design
title_full A six-term novel chaotic system with hidden attractor and its circuit design
title_fullStr A six-term novel chaotic system with hidden attractor and its circuit design
title_full_unstemmed A six-term novel chaotic system with hidden attractor and its circuit design
title_sort six-term novel chaotic system with hidden attractor and its circuit design
publisher Springer International Publishing
publishDate 2018
url http://eprints.unisza.edu.my/3718/1/FH05-FIK-18-13568.pdf
http://eprints.unisza.edu.my/3718/
_version_ 1724079285435629568
score 13.211869

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