Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems
A modified function projective synchronization for fractional-order chaotic system, called compound generalized function projective synchronization (CGFPS), is proposed theoretically in this paper. There are one scaling-drive system, more than one base-drive system, and one response system in the sc...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/7563416 |
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| _version_ | 1832565455992127488 |
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| author | Chunde Yang Hao Cai Ping Zhou |
| author_facet | Chunde Yang Hao Cai Ping Zhou |
| author_sort | Chunde Yang |
| collection | DOAJ |
| description | A modified function projective synchronization for fractional-order chaotic system, called compound generalized function projective synchronization (CGFPS), is proposed theoretically in this paper. There are one scaling-drive system, more than one base-drive system, and one response system in the scheme of CGFPS, and the scaling function matrices come from multidrive systems. The proposed CGFPS technique is based on the stability theory of fractional-order system. Moreover, we achieve the CGFPS between three-driver chaotic systems, that is, the fractional-order Arneodo chaotic system, the fractional-order Chen chaotic system, and the fractional-order Lu chaotic system, and one response chaotic system, that is, the fractional-order Lorenz chaotic system. Numerical experiments are demonstrated to verify the effectiveness of the CGFPS scheme. |
| format | Article |
| id | doaj-art-86f076d297fd4a25a77a0336fca9f299 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-86f076d297fd4a25a77a0336fca9f2992025-02-03T01:07:32ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/75634167563416Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic SystemsChunde Yang0Hao Cai1Ping Zhou2Center 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, ChinaCenter of System Theory and Its Applications, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaA modified function projective synchronization for fractional-order chaotic system, called compound generalized function projective synchronization (CGFPS), is proposed theoretically in this paper. There are one scaling-drive system, more than one base-drive system, and one response system in the scheme of CGFPS, and the scaling function matrices come from multidrive systems. The proposed CGFPS technique is based on the stability theory of fractional-order system. Moreover, we achieve the CGFPS between three-driver chaotic systems, that is, the fractional-order Arneodo chaotic system, the fractional-order Chen chaotic system, and the fractional-order Lu chaotic system, and one response chaotic system, that is, the fractional-order Lorenz chaotic system. Numerical experiments are demonstrated to verify the effectiveness of the CGFPS scheme.http://dx.doi.org/10.1155/2016/7563416 |
| spellingShingle | Chunde Yang Hao Cai Ping Zhou Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems Discrete Dynamics in Nature and Society |
| title | Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems |
| title_full | Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems |
| title_fullStr | Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems |
| title_full_unstemmed | Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems |
| title_short | Compound Generalized Function Projective Synchronization for Fractional-Order Chaotic Systems |
| title_sort | compound generalized function projective synchronization for fractional order chaotic systems |
| url | http://dx.doi.org/10.1155/2016/7563416 |
| work_keys_str_mv | AT chundeyang compoundgeneralizedfunctionprojectivesynchronizationforfractionalorderchaoticsystems AT haocai compoundgeneralizedfunctionprojectivesynchronizationforfractionalorderchaoticsystems AT pingzhou compoundgeneralizedfunctionprojectivesynchronizationforfractionalorderchaoticsystems |