Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System
This paper is devoted to investigate the tracking control and generalized synchronization of the hyperchaotic Lorenz-Stenflo system using the tracking model and the feedback control scheme. We suppress the chaos to unstable equilibrium via three feedback methods, and we achieve three globally genera...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/515106 |
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| _version_ | 1849686049801895936 |
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| author | Yin Li Yulin Zhao Zheng-an Yao |
| author_facet | Yin Li Yulin Zhao Zheng-an Yao |
| author_sort | Yin Li |
| collection | DOAJ |
| description | This paper is devoted to investigate the tracking control and generalized
synchronization of the hyperchaotic Lorenz-Stenflo system using the tracking model
and the feedback control scheme. We suppress the chaos to unstable equilibrium via
three feedback methods, and we achieve three globally generalized synchronization
controls. Novel tracking controllers with corresponding parameter update laws are
designed such that the Lorenz-Stenflo systems can be synchronized asymptotically.
Moreover, numerical simulations are presented to demonstrate the effectiveness,
through the contrast between the orbits before being stabilized and the ones after
being stabilized. |
| format | Article |
| id | doaj-art-b93e97dc0d214b67af97da479c732e6b |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b93e97dc0d214b67af97da479c732e6b2025-08-20T03:22:50ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/515106515106Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo SystemYin Li0Yulin Zhao1Zheng-an Yao2Department of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaDepartment of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, ChinaThis paper is devoted to investigate the tracking control and generalized synchronization of the hyperchaotic Lorenz-Stenflo system using the tracking model and the feedback control scheme. We suppress the chaos to unstable equilibrium via three feedback methods, and we achieve three globally generalized synchronization controls. Novel tracking controllers with corresponding parameter update laws are designed such that the Lorenz-Stenflo systems can be synchronized asymptotically. Moreover, numerical simulations are presented to demonstrate the effectiveness, through the contrast between the orbits before being stabilized and the ones after being stabilized.http://dx.doi.org/10.1155/2013/515106 |
| spellingShingle | Yin Li Yulin Zhao Zheng-an Yao Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System Abstract and Applied Analysis |
| title | Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System |
| title_full | Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System |
| title_fullStr | Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System |
| title_full_unstemmed | Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System |
| title_short | Chaotic Control and Generalized Synchronization for a Hyperchaotic Lorenz-Stenflo System |
| title_sort | chaotic control and generalized synchronization for a hyperchaotic lorenz stenflo system |
| url | http://dx.doi.org/10.1155/2013/515106 |
| work_keys_str_mv | AT yinli chaoticcontrolandgeneralizedsynchronizationforahyperchaoticlorenzstenflosystem AT yulinzhao chaoticcontrolandgeneralizedsynchronizationforahyperchaoticlorenzstenflosystem AT zhenganyao chaoticcontrolandgeneralizedsynchronizationforahyperchaoticlorenzstenflosystem |