Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System

In this paper, the influence of delayed feedback on the unified chaotic system from the Sprott C system and Yang system is studied. The Hopf bifurcation and dynamic behavior of the system are fully studied by using the central manifold theorem and bifurcation theory. The explicit formula, bifurcatio...

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Autores principales:	Huijian Zhu, Lijie Li
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi-Wiley 2021
Materias:	Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/325bcc6ea7ae41be9381c11d62895451
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spelling	oai:doaj.org-article:325bcc6ea7ae41be9381c11d628954512021-11-29T00:56:55ZDelayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System1099-052610.1155/2021/7066074https://doaj.org/article/325bcc6ea7ae41be9381c11d628954512021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7066074https://doaj.org/toc/1099-0526In this paper, the influence of delayed feedback on the unified chaotic system from the Sprott C system and Yang system is studied. The Hopf bifurcation and dynamic behavior of the system are fully studied by using the central manifold theorem and bifurcation theory. The explicit formula, bifurcation direction, and stability of the periodic solution of bifurcation are given correspondingly. The Hopf bifurcation diagram and chaotic phenomenon are also analyzed by numerical simulation to prove the correctness of the theory. It shows that this delay control can only be applied to the hidden chaos with two stable equilibria.Huijian ZhuLijie LiHindawi-WileyarticleElectronic computers. Computer scienceQA75.5-76.95ENComplexity, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electronic computers. Computer science QA75.5-76.95
spellingShingle	Electronic computers. Computer science QA75.5-76.95 Huijian Zhu Lijie Li Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System
description	In this paper, the influence of delayed feedback on the unified chaotic system from the Sprott C system and Yang system is studied. The Hopf bifurcation and dynamic behavior of the system are fully studied by using the central manifold theorem and bifurcation theory. The explicit formula, bifurcation direction, and stability of the periodic solution of bifurcation are given correspondingly. The Hopf bifurcation diagram and chaotic phenomenon are also analyzed by numerical simulation to prove the correctness of the theory. It shows that this delay control can only be applied to the hidden chaos with two stable equilibria.
format	article
author	Huijian Zhu Lijie Li
author_facet	Huijian Zhu Lijie Li
author_sort	Huijian Zhu
title	Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System
title_short	Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System
title_full	Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System
title_fullStr	Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System
title_full_unstemmed	Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System
title_sort	delayed feedback control of hidden chaos in the unified chaotic system between the sprott c system and yang system
publisher	Hindawi-Wiley
publishDate	2021
url	https://doaj.org/article/325bcc6ea7ae41be9381c11d62895451
work_keys_str_mv	AT huijianzhu delayedfeedbackcontrolofhiddenchaosintheunifiedchaoticsystembetweenthesprottcsystemandyangsystem AT lijieli delayedfeedbackcontrolofhiddenchaosintheunifiedchaoticsystembetweenthesprottcsystemandyangsystem
_version_	1718407636203864064

Delayed Feedback Control of Hidden Chaos in the Unified Chaotic System between the Sprott C System and Yang System

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