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

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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Main Authors: Ruoxun Zhang, Yongli Liu, Shiping Yang
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Entropy
Subjects:
synchronization
fractional-order
complex-variable chaotic system
unknown complex parameters
Online Access:https://www.mdpi.com/1099-4300/21/2/207
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spelling doaj-f25a350753a94b968dda838e76674c9b2020-11-24T21:16:00ZengMDPI AGEntropy1099-43002019-02-0121220710.3390/e21020207e21020207Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex ParametersRuoxun Zhang0Yongli Liu1Shiping Yang2College of Primary Education, Xingtai University, Xingtai 054001, ChinaCollege of Primary Education, Xingtai University, Xingtai 054001, ChinaCollege of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050016, ChinaThis 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.https://www.mdpi.com/1099-4300/21/2/207synchronizationfractional-ordercomplex-variable chaotic systemunknown complex parameters
collection DOAJ
language English
format Article
sources DOAJ
author Ruoxun Zhang
Yongli Liu
Shiping Yang
spellingShingle Ruoxun Zhang
Yongli Liu
Shiping Yang
Adaptive Synchronization of Fractional-Order Complex Chaotic system with Unknown Complex Parameters
Entropy
synchronization
fractional-order
complex-variable chaotic system
unknown complex parameters
author_facet Ruoxun Zhang
Yongli Liu
Shiping Yang
author_sort Ruoxun Zhang
title 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_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_sort adaptive synchronization of fractional-order complex chaotic system with unknown complex parameters
publisher MDPI AG
series Entropy
issn 1099-4300
publishDate 2019-02-01
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.
topic synchronization
fractional-order
complex-variable chaotic system
unknown complex parameters
url https://www.mdpi.com/1099-4300/21/2/207
work_keys_str_mv AT ruoxunzhang adaptivesynchronizationoffractionalordercomplexchaoticsystemwithunknowncomplexparameters
AT yongliliu adaptivesynchronizationoffractionalordercomplexchaoticsystemwithunknowncomplexparameters
AT shipingyang adaptivesynchronizationoffractionalordercomplexchaoticsystemwithunknowncomplexparameters
_version_ 1716743808462356480

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