A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems
It is an important to achieve the hybrid synchronization of the chaotic financial system. Chaos synchronization is equivalent to the error system which is asymptotically stable. The hybrid synchronization for a class of finance chaotic systems is discussed. First, a simple single variable controller...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2017/9129605 |
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| _version_ | 1832562647930765312 |
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| author | Jiming Zheng Xiaoshuang Li Yang Qiu |
| author_facet | Jiming Zheng Xiaoshuang Li Yang Qiu |
| author_sort | Jiming Zheng |
| collection | DOAJ |
| description | It is an important to achieve the hybrid synchronization of the chaotic financial system. Chaos synchronization is equivalent to the error system which is asymptotically stable. The hybrid synchronization for a class of finance chaotic systems is discussed. First, a simple single variable controller is obtained to synchronize two identical chaotic financial systems with different initial conditions. Second, a novel algorithm is proposed to determine the variables of the master system that should antisynchronize with corresponding variables of the slave system and use this algorithm to determine the corresponding variables in the chaotic financial systems. The hybrid synchronization of the chaotic financial systems is realized by a simple controller. At the same time, different controllers can implement the chaotic financial system hybrid synchronization. In comparison with the existing results, the obtained controllers in this paper are simpler than those of the existing results. Finally, numerical simulations show the effectiveness of the proposed results. |
| format | Article |
| id | doaj-art-009e8180bad8491db13b2a5f31abc3d9 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-009e8180bad8491db13b2a5f31abc3d92025-02-03T01:22:04ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/91296059129605A Simple Hybrid Synchronization for a Class of Chaotic Financial SystemsJiming Zheng0Xiaoshuang Li1Yang Qiu2School of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Science, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaIt is an important to achieve the hybrid synchronization of the chaotic financial system. Chaos synchronization is equivalent to the error system which is asymptotically stable. The hybrid synchronization for a class of finance chaotic systems is discussed. First, a simple single variable controller is obtained to synchronize two identical chaotic financial systems with different initial conditions. Second, a novel algorithm is proposed to determine the variables of the master system that should antisynchronize with corresponding variables of the slave system and use this algorithm to determine the corresponding variables in the chaotic financial systems. The hybrid synchronization of the chaotic financial systems is realized by a simple controller. At the same time, different controllers can implement the chaotic financial system hybrid synchronization. In comparison with the existing results, the obtained controllers in this paper are simpler than those of the existing results. Finally, numerical simulations show the effectiveness of the proposed results.http://dx.doi.org/10.1155/2017/9129605 |
| spellingShingle | Jiming Zheng Xiaoshuang Li Yang Qiu A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems Discrete Dynamics in Nature and Society |
| title | A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems |
| title_full | A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems |
| title_fullStr | A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems |
| title_full_unstemmed | A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems |
| title_short | A Simple Hybrid Synchronization for a Class of Chaotic Financial Systems |
| title_sort | simple hybrid synchronization for a class of chaotic financial systems |
| url | http://dx.doi.org/10.1155/2017/9129605 |
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