Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control
This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control metho...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/325131 |
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| _version_ | 1849691954569281536 |
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| author | Hui Fang |
| author_facet | Hui Fang |
| author_sort | Hui Fang |
| collection | DOAJ |
| description | This paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems
without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchronization scheme. |
| format | Article |
| id | doaj-art-b4021afa11b14f2da4476a08f274e265 |
| institution | DOAJ |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-b4021afa11b14f2da4476a08f274e2652025-08-20T03:20:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/325131325131Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback ControlHui Fang0Department of Mathematics, Kunming University of Science and Technology, Yunnan 650093, ChinaThis paper illustrates the presence of chaos in rank-one chaotic systems with delay via a binary test (called 0-1 test) for chaos. Chaotic synchronization between two rank-one chaotic systems without and with delay is achieved by means of Lyapunov functional and linear delayed feedback control method. Numerical simulations are implemented to verify the effectiveness of the proposed chaos synchronization scheme.http://dx.doi.org/10.1155/2012/325131 |
| spellingShingle | Hui Fang Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control Journal of Applied Mathematics |
| title | Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control |
| title_full | Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control |
| title_fullStr | Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control |
| title_full_unstemmed | Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control |
| title_short | Synchronization of Two Rank-One Chaotic Systems without and with Delay via Linear Delayed Feedback Control |
| title_sort | synchronization of two rank one chaotic systems without and with delay via linear delayed feedback control |
| url | http://dx.doi.org/10.1155/2012/325131 |
| work_keys_str_mv | AT huifang synchronizationoftworankonechaoticsystemswithoutandwithdelayvialineardelayedfeedbackcontrol |