Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters

This paper investigates the problem of complex modified projective synchronization (CMPS) of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. By a complex-variable inequality and a stability theory for fractional-order nonlinear systems, a new scheme is pres...

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Detalles Bibliográficos
Autores principales: Zhang, Ruoxun, Feng, Shiwen, Yang, Shiping
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7845774/
https://www.ncbi.nlm.nih.gov/pubmed/33267121
http://dx.doi.org/10.3390/e21040407
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author Zhang, Ruoxun
Feng, Shiwen
Yang, Shiping
author_facet Zhang, Ruoxun
Feng, Shiwen
Yang, Shiping
author_sort Zhang, Ruoxun
collection PubMed
description This paper investigates the problem of complex modified projective synchronization (CMPS) of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. By a complex-variable inequality and a stability theory for fractional-order nonlinear systems, a new scheme is presented for constructing CMPS of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued systems 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-78457742021-02-24 Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters Zhang, Ruoxun Feng, Shiwen Yang, Shiping Entropy (Basel) Article This paper investigates the problem of complex modified projective synchronization (CMPS) of fractional-order complex-variable chaotic systems (FOCCS) with unknown complex parameters. By a complex-variable inequality and a stability theory for fractional-order nonlinear systems, a new scheme is presented for constructing CMPS of FOCCS with unknown complex parameters. The proposed scheme not only provides a new method to analyze fractional-order complex-valued systems but also significantly reduces the complexity of computation and analysis. Theoretical proof and simulation results substantiate the effectiveness of the presented synchronization scheme. MDPI 2019-04-17 /pmc/articles/PMC7845774/ /pubmed/33267121 http://dx.doi.org/10.3390/e21040407 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
Feng, Shiwen
Yang, Shiping
Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters
title Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters
title_full Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters
title_fullStr Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters
title_full_unstemmed Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters
title_short Complex Modified Projective Synchronization of Fractional-Order Complex-Variable Chaotic System with Unknown Complex Parameters
title_sort complex modified projective synchronization of fractional-order complex-variable chaotic system with unknown complex parameters
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7845774/
https://www.ncbi.nlm.nih.gov/pubmed/33267121
http://dx.doi.org/10.3390/e21040407
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AT fengshiwen complexmodifiedprojectivesynchronizationoffractionalordercomplexvariablechaoticsystemwithunknowncomplexparameters
AT yangshiping complexmodifiedprojectivesynchronizationoffractionalordercomplexvariablechaoticsystemwithunknowncomplexparameters

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