Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters

This paper investigates the problem of synchronization of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. Based on the complex-variable inequality and stability theory for fractional-order complex-valued system, a new scheme is presented for adaptive synchr...

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Detalles Bibliográficos
Autores principales: Zhang, Ruoxun, Liu, Yongli, Yang, Shiping
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514688/
https://www.ncbi.nlm.nih.gov/pubmed/33266922
http://dx.doi.org/10.3390/e21020207
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author Zhang, Ruoxun
Liu, Yongli
Yang, Shiping
author_facet Zhang, Ruoxun
Liu, Yongli
Yang, Shiping
author_sort Zhang, Ruoxun
collection PubMed
description This paper investigates the problem of synchronization of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. Based on the complex-variable inequality and stability theory for fractional-order complex-valued system, a new scheme is presented for adaptive synchronization of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued system but also significantly reduces the complexity of computation and analysis. Theoretical proof and simulation results substantiate the effectiveness of the presented synchronization scheme.
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spelling pubmed-75146882020-11-09 Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters Zhang, Ruoxun Liu, Yongli Yang, Shiping Entropy (Basel) Article This paper investigates the problem of synchronization of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. Based on the complex-variable inequality and stability theory for fractional-order complex-valued system, a new scheme is presented for adaptive synchronization of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued system but also significantly reduces the complexity of computation and analysis. Theoretical proof and simulation results substantiate the effectiveness of the presented synchronization scheme. MDPI 2019-02-21 /pmc/articles/PMC7514688/ /pubmed/33266922 http://dx.doi.org/10.3390/e21020207 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Zhang, Ruoxun
Liu, Yongli
Yang, Shiping
Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters
title Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters
title_full Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters
title_fullStr Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters
title_full_unstemmed Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters
title_short Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters
title_sort adaptive synchronization of fractional-order complex chaotic system with unknown complex parameters
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7514688/
https://www.ncbi.nlm.nih.gov/pubmed/33266922
http://dx.doi.org/10.3390/e21020207
work_keys_str_mv AT zhangruoxun adaptivesynchronizationoffractionalordercomplexchaoticsystemwithunknowncomplexparameters
AT liuyongli adaptivesynchronizationoffractionalordercomplexchaoticsystemwithunknowncomplexparameters
AT yangshiping adaptivesynchronizationoffractionalordercomplexchaoticsystemwithunknowncomplexparameters

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