Applying Dynamic Systems to Social Media by Using Controlling Stability

This study focuses on hybrid synchronization, a new synchronization phenomenon in which one element of the system is synced with another part of the system that is not allowing full synchronization and nonsynchronization to coexist in the system. When [Formula: see text] , where Y and X are the stat...

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Detalles Bibliográficos
Autores principales: Abdullah Hamad, Abdulsattar, Thivagar, M. Lellis, Bader Alazzam, Malik, Alassery, Fawaz, Hajjej, Fahima, Shihab, Ali A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8872657/
https://www.ncbi.nlm.nih.gov/pubmed/35222627
http://dx.doi.org/10.1155/2022/4569879
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author Abdullah Hamad, Abdulsattar
Thivagar, M. Lellis
Bader Alazzam, Malik
Alassery, Fawaz
Hajjej, Fahima
Shihab, Ali A.
author_facet Abdullah Hamad, Abdulsattar
Thivagar, M. Lellis
Bader Alazzam, Malik
Alassery, Fawaz
Hajjej, Fahima
Shihab, Ali A.
author_sort Abdullah Hamad, Abdulsattar
collection PubMed
description This study focuses on hybrid synchronization, a new synchronization phenomenon in which one element of the system is synced with another part of the system that is not allowing full synchronization and nonsynchronization to coexist in the system. When [Formula: see text] , where Y and X are the state vectors of the drive and response systems, respectively, and Wan (α = ∓1)), the two systems' hybrid synchronization phenomena are realized mathematically. Nonlinear control is used to create four alternative error stabilization controllers that are based on two basic tools: Lyapunov stability theory and the linearization approach.
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spelling pubmed-88726572022-02-25 Applying Dynamic Systems to Social Media by Using Controlling Stability Abdullah Hamad, Abdulsattar Thivagar, M. Lellis Bader Alazzam, Malik Alassery, Fawaz Hajjej, Fahima Shihab, Ali A. Comput Intell Neurosci Research Article This study focuses on hybrid synchronization, a new synchronization phenomenon in which one element of the system is synced with another part of the system that is not allowing full synchronization and nonsynchronization to coexist in the system. When [Formula: see text] , where Y and X are the state vectors of the drive and response systems, respectively, and Wan (α = ∓1)), the two systems' hybrid synchronization phenomena are realized mathematically. Nonlinear control is used to create four alternative error stabilization controllers that are based on two basic tools: Lyapunov stability theory and the linearization approach. Hindawi 2022-01-31 /pmc/articles/PMC8872657/ /pubmed/35222627 http://dx.doi.org/10.1155/2022/4569879 Text en Copyright © 2022 Abdulsattar Abdullah Hamad 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
Abdullah Hamad, Abdulsattar
Thivagar, M. Lellis
Bader Alazzam, Malik
Alassery, Fawaz
Hajjej, Fahima
Shihab, Ali A.
Applying Dynamic Systems to Social Media by Using Controlling Stability
title Applying Dynamic Systems to Social Media by Using Controlling Stability
title_full Applying Dynamic Systems to Social Media by Using Controlling Stability
title_fullStr Applying Dynamic Systems to Social Media by Using Controlling Stability
title_full_unstemmed Applying Dynamic Systems to Social Media by Using Controlling Stability
title_short Applying Dynamic Systems to Social Media by Using Controlling Stability
title_sort applying dynamic systems to social media by using controlling stability
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8872657/
https://www.ncbi.nlm.nih.gov/pubmed/35222627
http://dx.doi.org/10.1155/2022/4569879
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