Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems

This paper is concerned with master-slave synchronization of 4D hyperchaotic Rabinovich systems. Compared with some existing papers, this paper has two contributions. The first contribution is that the nonlinear terms of error systems remained which inherit nonlinear features from master and slave 4...

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Main Authors: Ke Ding, Christos Volos, Xing Xu, Bin Du
Format: Article
Language:English
Published: Hindawi-Wiley 2018-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2018/6520474
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spelling doaj-189d07cb7a4f45e5b7c5ce8de7bbdb972020-11-25T02:16:48ZengHindawi-WileyComplexity1076-27871099-05262018-01-01201810.1155/2018/65204746520474Master-Slave Synchronization of 4D Hyperchaotic Rabinovich SystemsKe Ding0Christos Volos1Xing Xu2Bin Du3School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaDepartment of Physics, Aristotle University of Thessaloniki, Thessaloniki, GreeceSchool of Business Administration, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaSchool of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, ChinaThis paper is concerned with master-slave synchronization of 4D hyperchaotic Rabinovich systems. Compared with some existing papers, this paper has two contributions. The first contribution is that the nonlinear terms of error systems remained which inherit nonlinear features from master and slave 4D hyperchaotic Rabinovich systems, rather than discarding nonlinear features of original hyperchaotic Rabinovich systems and eliminating those nonlinear terms to derive linear error systems as the control methods in some existing papers. The second contribution is that the synchronization criteria of this paper are global rather than local synchronization results in some existing papers. In addition, those synchronization criteria and control methods for 4D hyperchaotic Rabinovich systems are extended to investigate the synchronization of 3D chaotic Rabinovich systems. The effectiveness of synchronization criteria is illustrated by three simulation examples.http://dx.doi.org/10.1155/2018/6520474
collection DOAJ
language English
format Article
sources DOAJ
author Ke Ding
Christos Volos
Xing Xu
Bin Du
spellingShingle Ke Ding
Christos Volos
Xing Xu
Bin Du
Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems
Complexity
author_facet Ke Ding
Christos Volos
Xing Xu
Bin Du
author_sort Ke Ding
title Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems
title_short Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems
title_full Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems
title_fullStr Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems
title_full_unstemmed Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems
title_sort master-slave synchronization of 4d hyperchaotic rabinovich systems
publisher Hindawi-Wiley
series Complexity
issn 1076-2787
1099-0526
publishDate 2018-01-01
description This paper is concerned with master-slave synchronization of 4D hyperchaotic Rabinovich systems. Compared with some existing papers, this paper has two contributions. The first contribution is that the nonlinear terms of error systems remained which inherit nonlinear features from master and slave 4D hyperchaotic Rabinovich systems, rather than discarding nonlinear features of original hyperchaotic Rabinovich systems and eliminating those nonlinear terms to derive linear error systems as the control methods in some existing papers. The second contribution is that the synchronization criteria of this paper are global rather than local synchronization results in some existing papers. In addition, those synchronization criteria and control methods for 4D hyperchaotic Rabinovich systems are extended to investigate the synchronization of 3D chaotic Rabinovich systems. The effectiveness of synchronization criteria is illustrated by three simulation examples.
url http://dx.doi.org/10.1155/2018/6520474
work_keys_str_mv AT keding masterslavesynchronizationof4dhyperchaoticrabinovichsystems
AT christosvolos masterslavesynchronizationof4dhyperchaoticrabinovichsystems
AT xingxu masterslavesynchronizationof4dhyperchaoticrabinovichsystems
AT bindu masterslavesynchronizationof4dhyperchaoticrabinovichsystems
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