A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization

In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an only unstable origin point. Thus, it is categorized as a model with self-excited attractors. And it has seven equations which include 19 terms,...

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Autores principales: Al-Obeidi, Ahmed S., Fawzi Al-Azzawi, Saad, Abdullah Hamad, Abdulsattar, Thivagar, M. Lellis, Meraf, Zelalem, Ahmad, Sultan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2021
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8739549/
https://www.ncbi.nlm.nih.gov/pubmed/35003239
http://dx.doi.org/10.1155/2021/3081345
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author Al-Obeidi, Ahmed S.
Fawzi Al-Azzawi, Saad
Abdullah Hamad, Abdulsattar
Thivagar, M. Lellis
Meraf, Zelalem
Ahmad, Sultan
author_facet Al-Obeidi, Ahmed S.
Fawzi Al-Azzawi, Saad
Abdullah Hamad, Abdulsattar
Thivagar, M. Lellis
Meraf, Zelalem
Ahmad, Sultan
author_sort Al-Obeidi, Ahmed S.
collection PubMed
description In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an only unstable origin point. Thus, it is categorized as a model with self-excited attractors. And it has seven equations which include 19 terms, four of which are quadratic nonlinearities. Various important features of the novel model are analyzed, including equilibria points, stability, and Lyapunov exponents. The numerical simulation shows that the new class exhibits dynamical behaviors such as chaotic and hyperchaotic. This paper also presents the hybrid synchronization for a novel model via Lyapunov stability theory.
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spelling pubmed-87395492022-01-08 A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization Al-Obeidi, Ahmed S. Fawzi Al-Azzawi, Saad Abdullah Hamad, Abdulsattar Thivagar, M. Lellis Meraf, Zelalem Ahmad, Sultan Comput Intell Neurosci Research Article In this study, a novel 7D hyperchaotic model is constructed from the 6D Lorenz model via the nonlinear feedback control technique. The proposed model has an only unstable origin point. Thus, it is categorized as a model with self-excited attractors. And it has seven equations which include 19 terms, four of which are quadratic nonlinearities. Various important features of the novel model are analyzed, including equilibria points, stability, and Lyapunov exponents. The numerical simulation shows that the new class exhibits dynamical behaviors such as chaotic and hyperchaotic. This paper also presents the hybrid synchronization for a novel model via Lyapunov stability theory. Hindawi 2021-12-30 /pmc/articles/PMC8739549/ /pubmed/35003239 http://dx.doi.org/10.1155/2021/3081345 Text en Copyright © 2021 Ahmed S. Al-Obeidi et al. https://creativecommons.org/licenses/by/4.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Al-Obeidi, Ahmed S.
Fawzi Al-Azzawi, Saad
Abdullah Hamad, Abdulsattar
Thivagar, M. Lellis
Meraf, Zelalem
Ahmad, Sultan
A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization
title A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization
title_full A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization
title_fullStr A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization
title_full_unstemmed A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization
title_short A Novel of New 7D Hyperchaotic System with Self-Excited Attractors and Its Hybrid Synchronization
title_sort novel of new 7d hyperchaotic system with self-excited attractors and its hybrid synchronization
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8739549/
https://www.ncbi.nlm.nih.gov/pubmed/35003239
http://dx.doi.org/10.1155/2021/3081345
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