Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems

In this paper, the Adomian decomposition method (ADM) semi-analytical solution algorithm is applied to solve a fractional-order entanglement symmetrical chaotic system. The dynamics of the system are analyzed by the Lyapunov exponent spectrum, bifurcation diagrams, poincaré diagrams, and chaos diagr...

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Autores principales:	Tengfei Lei, Beixing Mao, Xuejiao Zhou, Haiyan Fu
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	entanglement symmetrical chaotic systems Adomian decomposition synchronizations Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/2318143f2e8646dbbb54b7e551225bfe
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spelling	oai:doaj.org-article:2318143f2e8646dbbb54b7e551225bfe2021-11-25T19:05:52ZDynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems10.3390/sym131119962073-8994https://doaj.org/article/2318143f2e8646dbbb54b7e551225bfe2021-10-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/1996https://doaj.org/toc/2073-8994In this paper, the Adomian decomposition method (ADM) semi-analytical solution algorithm is applied to solve a fractional-order entanglement symmetrical chaotic system. The dynamics of the system are analyzed by the Lyapunov exponent spectrum, bifurcation diagrams, poincaré diagrams, and chaos diagrams. The results show that the systems have rich dynamics. Meanwhile, sliding mode synchronizations of fractional-order chaotic systems are investigated theoretically and numerically. The results show the effectiveness of the proposed method and potential application value of fractional-order systems.Tengfei LeiBeixing MaoXuejiao ZhouHaiyan FuMDPI AGarticleentanglement symmetrical chaotic systemsAdomian decompositionsynchronizationsMathematicsQA1-939ENSymmetry, Vol 13, Iss 1996, p 1996 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	entanglement symmetrical chaotic systems Adomian decomposition synchronizations Mathematics QA1-939
spellingShingle	entanglement symmetrical chaotic systems Adomian decomposition synchronizations Mathematics QA1-939 Tengfei Lei Beixing Mao Xuejiao Zhou Haiyan Fu Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems
description	In this paper, the Adomian decomposition method (ADM) semi-analytical solution algorithm is applied to solve a fractional-order entanglement symmetrical chaotic system. The dynamics of the system are analyzed by the Lyapunov exponent spectrum, bifurcation diagrams, poincaré diagrams, and chaos diagrams. The results show that the systems have rich dynamics. Meanwhile, sliding mode synchronizations of fractional-order chaotic systems are investigated theoretically and numerically. The results show the effectiveness of the proposed method and potential application value of fractional-order systems.
format	article
author	Tengfei Lei Beixing Mao Xuejiao Zhou Haiyan Fu
author_facet	Tengfei Lei Beixing Mao Xuejiao Zhou Haiyan Fu
author_sort	Tengfei Lei
title	Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems
title_short	Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems
title_full	Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems
title_fullStr	Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems
title_full_unstemmed	Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems
title_sort	dynamics analysis and synchronous control of fractional-order entanglement symmetrical chaotic systems
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/2318143f2e8646dbbb54b7e551225bfe
work_keys_str_mv	AT tengfeilei dynamicsanalysisandsynchronouscontroloffractionalorderentanglementsymmetricalchaoticsystems AT beixingmao dynamicsanalysisandsynchronouscontroloffractionalorderentanglementsymmetricalchaoticsystems AT xuejiaozhou dynamicsanalysisandsynchronouscontroloffractionalorderentanglementsymmetricalchaoticsystems AT haiyanfu dynamicsanalysisandsynchronouscontroloffractionalorderentanglementsymmetricalchaoticsystems
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Dynamics Analysis and Synchronous Control of Fractional-Order Entanglement Symmetrical Chaotic Systems

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