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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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2018/6520474 |
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| _version_ | 1849309274409271296 |
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| author | Ke Ding Christos Volos Xing Xu Bin Du |
| author_facet | Ke Ding Christos Volos Xing Xu Bin Du |
| author_sort | Ke Ding |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-189d07cb7a4f45e5b7c5ce8de7bbdb97 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-189d07cb7a4f45e5b7c5ce8de7bbdb972025-08-20T03:54:12ZengWileyComplexity1076-27871099-05262018-01-01201810.1155/2018/65204746520474Master-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 |
| spellingShingle | Ke Ding Christos Volos Xing Xu Bin Du Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems Complexity |
| title | 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_short | Master-Slave Synchronization of 4D Hyperchaotic Rabinovich Systems |
| title_sort | master slave synchronization of 4d hyperchaotic rabinovich systems |
| 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 |