Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems

In this paper, a new synchronization phenomenon, that is, the simultaneity of synchronization and antisynchronization, is investigated for a class of chaotic systems. First, for a given chaotic system, necessary and sufficient conditions for the simultaneity of synchronization and antisynchronizatio...

Full description

Bibliographic Details
Main Authors:	Zhi Liu, Rongwei Guo, Yi Qi, Cuimei Jiang
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2020/3961287

id	doaj-9e597303f98140f2bda742f0fe76bcfc
record_format	Article
spelling	doaj-9e597303f98140f2bda742f0fe76bcfc2020-11-25T02:53:11ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472020-01-01202010.1155/2020/39612873961287Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic SystemsZhi Liu0Rongwei Guo1Yi Qi2Cuimei Jiang3School of Information Engineering, Key Laboratory of TCM Data Cloud Service in Universities of Shandong, Shandong Management University, Jinan 250357, ChinaSchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaTexas South University, Houston 250061, USASchool of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, ChinaIn this paper, a new synchronization phenomenon, that is, the simultaneity of synchronization and antisynchronization, is investigated for a class of chaotic systems. First, for a given chaotic system, necessary and sufficient conditions for the simultaneity of synchronization and antisynchronization are proved. Then, based on these conditions, all solutions of such synchronization phenomenon for a given chaotic system are derived. After that, physical controllers that are not only simple but also implementable are designed to realize the simultaneity of synchronization and antisynchronization in the above system. Finally, illustrative examples based on numerical simulations are used to verify the validity and effectiveness of the above theoretical results.http://dx.doi.org/10.1155/2020/3961287
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zhi Liu Rongwei Guo Yi Qi Cuimei Jiang
spellingShingle	Zhi Liu Rongwei Guo Yi Qi Cuimei Jiang Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems Mathematical Problems in Engineering
author_facet	Zhi Liu Rongwei Guo Yi Qi Cuimei Jiang
author_sort	Zhi Liu
title	Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems
title_short	Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems
title_full	Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems
title_fullStr	Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems
title_full_unstemmed	Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems
title_sort	simultaneity of synchronization and antisynchronization in a class of chaotic systems
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2020-01-01
description	In this paper, a new synchronization phenomenon, that is, the simultaneity of synchronization and antisynchronization, is investigated for a class of chaotic systems. First, for a given chaotic system, necessary and sufficient conditions for the simultaneity of synchronization and antisynchronization are proved. Then, based on these conditions, all solutions of such synchronization phenomenon for a given chaotic system are derived. After that, physical controllers that are not only simple but also implementable are designed to realize the simultaneity of synchronization and antisynchronization in the above system. Finally, illustrative examples based on numerical simulations are used to verify the validity and effectiveness of the above theoretical results.
url	http://dx.doi.org/10.1155/2020/3961287
work_keys_str_mv	AT zhiliu simultaneityofsynchronizationandantisynchronizationinaclassofchaoticsystems AT rongweiguo simultaneityofsynchronizationandantisynchronizationinaclassofchaoticsystems AT yiqi simultaneityofsynchronizationandantisynchronizationinaclassofchaoticsystems AT cuimeijiang simultaneityofsynchronizationandantisynchronizationinaclassofchaoticsystems
_version_	1715359833062899712

Simultaneity of Synchronization and Antisynchronization in a Class of Chaotic Systems

Similar Items