Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient
This paper addresses the generalized synchronization of stochastic discrete chaotic systems with Poisson distribution coefficient. Firstly, based on the orthogonal polynomial approximation theory of discrete random function in Hilbert spaces, the discrete chaotic system with random parameter is tran...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2013/981503 |
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| _version_ | 1832555399822180352 |
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| author | Shao-juan Ma Duan Dong Jie Zheng |
| author_facet | Shao-juan Ma Duan Dong Jie Zheng |
| author_sort | Shao-juan Ma |
| collection | DOAJ |
| description | This paper addresses the generalized synchronization of stochastic discrete chaotic systems with Poisson distribution coefficient. Firstly, based on the orthogonal polynomial approximation theory of discrete random function in Hilbert spaces, the discrete chaotic system with random parameter is transformed into its equivalent deterministic system. Secondly, a general method for the generalized synchronization of discrete chaotic system with random parameter is presented by Lyapunov stability theory and contraction theorem. Finally, two synchronization examples numerically illustrated that the proposed control scheme is effective for any stochastic discrete system. |
| format | Article |
| id | doaj-art-e5e12a1dd9684fcb9d0f64bb7702e6d8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-e5e12a1dd9684fcb9d0f64bb7702e6d82025-02-03T05:48:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2013-01-01201310.1155/2013/981503981503Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution CoefficientShao-juan Ma0Duan Dong1Jie Zheng2School of Information and Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaSchool of Information and Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaSchool of Information and Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaThis paper addresses the generalized synchronization of stochastic discrete chaotic systems with Poisson distribution coefficient. Firstly, based on the orthogonal polynomial approximation theory of discrete random function in Hilbert spaces, the discrete chaotic system with random parameter is transformed into its equivalent deterministic system. Secondly, a general method for the generalized synchronization of discrete chaotic system with random parameter is presented by Lyapunov stability theory and contraction theorem. Finally, two synchronization examples numerically illustrated that the proposed control scheme is effective for any stochastic discrete system.http://dx.doi.org/10.1155/2013/981503 |
| spellingShingle | Shao-juan Ma Duan Dong Jie Zheng Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient Discrete Dynamics in Nature and Society |
| title | Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient |
| title_full | Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient |
| title_fullStr | Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient |
| title_full_unstemmed | Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient |
| title_short | Generalized Synchronization of Stochastic Discrete Chaotic System with Poisson Distribution Coefficient |
| title_sort | generalized synchronization of stochastic discrete chaotic system with poisson distribution coefficient |
| url | http://dx.doi.org/10.1155/2013/981503 |
| work_keys_str_mv | AT shaojuanma generalizedsynchronizationofstochasticdiscretechaoticsystemwithpoissondistributioncoefficient AT duandong generalizedsynchronizationofstochasticdiscretechaoticsystemwithpoissondistributioncoefficient AT jiezheng generalizedsynchronizationofstochasticdiscretechaoticsystemwithpoissondistributioncoefficient |