Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application
A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the r...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/974639 |
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| _version_ | 1832561743681814528 |
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| author | Wen Tan Feng Ling Jiang Chuang Xia Huang Lan Zhou |
| author_facet | Wen Tan Feng Ling Jiang Chuang Xia Huang Lan Zhou |
| author_sort | Wen Tan |
| collection | DOAJ |
| description | A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the technology of chaotic masking using the complex nonperiodic information as trial message, and the useful information can be recovered at the receiver. Numerical simulations coincide with the theoretical analysis. |
| format | Article |
| id | doaj-art-f35ed85296e5453392f4cc922cdffaae |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f35ed85296e5453392f4cc922cdffaae2025-02-03T01:24:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/974639974639Synchronization for a Class of Fractional-Order Hyperchaotic System and Its ApplicationWen Tan0Feng Ling Jiang1Chuang Xia Huang2Lan Zhou3College of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaCollege of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaCollege of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410076, ChinaCollege of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, ChinaA new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. Furthermore, this control scheme can be used in secure communication via the technology of chaotic masking using the complex nonperiodic information as trial message, and the useful information can be recovered at the receiver. Numerical simulations coincide with the theoretical analysis.http://dx.doi.org/10.1155/2012/974639 |
| spellingShingle | Wen Tan Feng Ling Jiang Chuang Xia Huang Lan Zhou Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application Journal of Applied Mathematics |
| title | Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application |
| title_full | Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application |
| title_fullStr | Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application |
| title_full_unstemmed | Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application |
| title_short | Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application |
| title_sort | synchronization for a class of fractional order hyperchaotic system and its application |
| url | http://dx.doi.org/10.1155/2012/974639 |
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