Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller
The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronizatio...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/151025 |
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| _version_ | 1850216629956247552 |
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| author | Yan-Ping Wu Guo-Dong Wang |
| author_facet | Yan-Ping Wu Guo-Dong Wang |
| author_sort | Yan-Ping Wu |
| collection | DOAJ |
| description | The synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and between integer-order hyperchaotic Chen system and fractional-order hyperchaotic Rössler system is used to illustrate the effectiveness of the proposed synchronization approach. Numerical simulations coincide with the theoretical analysis. |
| format | Article |
| id | doaj-art-366e3ee7fec54037a96ddab5a1e2a82b |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-366e3ee7fec54037a96ddab5a1e2a82b2025-08-20T02:08:15ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/151025151025Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode ControllerYan-Ping Wu0Guo-Dong Wang1College of Science, Northwest A&F University, Yangling, Shaanxi 712100, ChinaCollege of Science, Northwest A&F University, Yangling, Shaanxi 712100, ChinaThe synchronization between fractional-order hyperchaotic systems and integer-order hyperchaotic systems via sliding mode controller is investigated. By designing an active sliding mode controller and choosing proper control parameters, the drive and response systems are synchronized. Synchronization between the fractional-order Chen chaotic system and the integer-order Chen chaotic system and between integer-order hyperchaotic Chen system and fractional-order hyperchaotic Rössler system is used to illustrate the effectiveness of the proposed synchronization approach. Numerical simulations coincide with the theoretical analysis.http://dx.doi.org/10.1155/2013/151025 |
| spellingShingle | Yan-Ping Wu Guo-Dong Wang Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller Journal of Applied Mathematics |
| title | Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller |
| title_full | Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller |
| title_fullStr | Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller |
| title_full_unstemmed | Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller |
| title_short | Synchronization between Fractional-Order and Integer-Order Hyperchaotic Systems via Sliding Mode Controller |
| title_sort | synchronization between fractional order and integer order hyperchaotic systems via sliding mode controller |
| url | http://dx.doi.org/10.1155/2013/151025 |
| work_keys_str_mv | AT yanpingwu synchronizationbetweenfractionalorderandintegerorderhyperchaoticsystemsviaslidingmodecontroller AT guodongwang synchronizationbetweenfractionalorderandintegerorderhyperchaoticsystemsviaslidingmodecontroller |