A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems
An adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This propo...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2011/496846 |
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| _version_ | 1832548783025553408 |
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| author | Ping Zhou Xiao-You Yang |
| author_facet | Ping Zhou Xiao-You Yang |
| author_sort | Ping Zhou |
| collection | DOAJ |
| description | An adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This proposed scheme is different with the function projective synchronization (FPS) scheme, in which the drive and response system could be synchronized up to a scaling function factor. The adaptive controller and the parameter update law are gained. Two examples are presented to demonstrate the effectiveness of the proposed scheme. |
| format | Article |
| id | doaj-art-badecdf74f9c47b0973592a627d075e8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-badecdf74f9c47b0973592a627d075e82025-02-03T06:13:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/496846496846A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic SystemsPing Zhou0Xiao-You Yang1Center of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaKey Laboratory of Network Control and Intelligent Instrument of Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaAn adaptive hybrid function projective synchronization (AHFPS) scheme between different fractional-order chaotic systems with uncertain system parameter is addressed in this paper. In this proposed scheme, the drive and response system could be synchronized up to a vector function factor. This proposed scheme is different with the function projective synchronization (FPS) scheme, in which the drive and response system could be synchronized up to a scaling function factor. The adaptive controller and the parameter update law are gained. Two examples are presented to demonstrate the effectiveness of the proposed scheme.http://dx.doi.org/10.1155/2011/496846 |
| spellingShingle | Ping Zhou Xiao-You Yang A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems Discrete Dynamics in Nature and Society |
| title | A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems |
| title_full | A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems |
| title_fullStr | A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems |
| title_full_unstemmed | A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems |
| title_short | A Novel Hybrid Function Projective Synchronization between Different Fractional-Order Chaotic Systems |
| title_sort | novel hybrid function projective synchronization between different fractional order chaotic systems |
| url | http://dx.doi.org/10.1155/2011/496846 |
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