One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2

Based on a new stability result of equilibrium point in nonlinear fractional-order systems for fractional-order lying in 1 < q < 2, one adaptive synchronization approach is established. The adaptive synchronization for the fractional-order Lorenz chaotic system with fractional-order 1 < q &...

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Detalles Bibliográficos
Autores principales: Zhou, Ping, Bai, Rongji
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163386/
https://www.ncbi.nlm.nih.gov/pubmed/25247207
http://dx.doi.org/10.1155/2014/490364
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author Zhou, Ping
Bai, Rongji
author_facet Zhou, Ping
Bai, Rongji
author_sort Zhou, Ping
collection PubMed
description Based on a new stability result of equilibrium point in nonlinear fractional-order systems for fractional-order lying in 1 < q < 2, one adaptive synchronization approach is established. The adaptive synchronization for the fractional-order Lorenz chaotic system with fractional-order 1 < q < 2 is considered. Numerical simulations show the validity and feasibility of the proposed scheme.
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spelling pubmed-41633862014-09-22 One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2 Zhou, Ping Bai, Rongji ScientificWorldJournal Research Article Based on a new stability result of equilibrium point in nonlinear fractional-order systems for fractional-order lying in 1 < q < 2, one adaptive synchronization approach is established. The adaptive synchronization for the fractional-order Lorenz chaotic system with fractional-order 1 < q < 2 is considered. Numerical simulations show the validity and feasibility of the proposed scheme. Hindawi Publishing Corporation 2014 2014-08-27 /pmc/articles/PMC4163386/ /pubmed/25247207 http://dx.doi.org/10.1155/2014/490364 Text en Copyright © 2014 P. Zhou and R. Bai. https://creativecommons.org/licenses/by/3.0/ 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
Zhou, Ping
Bai, Rongji
One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2
title One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2
title_full One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2
title_fullStr One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2
title_full_unstemmed One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2
title_short One Adaptive Synchronization Approach for Fractional-Order Chaotic System with Fractional-Order 1 < q < 2
title_sort one adaptive synchronization approach for fractional-order chaotic system with fractional-order 1 < q < 2
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4163386/
https://www.ncbi.nlm.nih.gov/pubmed/25247207
http://dx.doi.org/10.1155/2014/490364
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