Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances
The nonlinear chaotic system with multistochastic disturbances is investigated. Based on the orthogonal polynomial approximation, the method of transforming the system into an equivalent deterministic system is given. Then dynamic analysis of the nonlinear chaotic system with multistochastic disturb...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/610816 |
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| _version_ | 1832546125889929216 |
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| author | Lingling Geng Yongguang Yu Shuo Zhang |
| author_facet | Lingling Geng Yongguang Yu Shuo Zhang |
| author_sort | Lingling Geng |
| collection | DOAJ |
| description | The nonlinear chaotic system with multistochastic disturbances is investigated. Based on the orthogonal polynomial approximation, the method of transforming the system into an equivalent deterministic system is given. Then dynamic analysis of the nonlinear chaotic system with multistochastic disturbances can be reduced into that of its equivalent deterministic system. Especially, the Lorenz system with multistochastic disturbances is studied to demonstrate the feasibility of the given method. And its dynamic behaviors are gained including the phase portrait, the bifurcation diagram, the Poincaré section, and the maximum Lyapunov exponent. |
| format | Article |
| id | doaj-art-43f5d265ab294dfdabebbb7f83b41042 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-43f5d265ab294dfdabebbb7f83b410422025-02-03T07:23:51ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/610816610816Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic DisturbancesLingling Geng0Yongguang Yu1Shuo Zhang2Department of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaDepartment of Mathematics, Beijing Jiaotong University, Beijing 100044, ChinaThe nonlinear chaotic system with multistochastic disturbances is investigated. Based on the orthogonal polynomial approximation, the method of transforming the system into an equivalent deterministic system is given. Then dynamic analysis of the nonlinear chaotic system with multistochastic disturbances can be reduced into that of its equivalent deterministic system. Especially, the Lorenz system with multistochastic disturbances is studied to demonstrate the feasibility of the given method. And its dynamic behaviors are gained including the phase portrait, the bifurcation diagram, the Poincaré section, and the maximum Lyapunov exponent.http://dx.doi.org/10.1155/2014/610816 |
| spellingShingle | Lingling Geng Yongguang Yu Shuo Zhang Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances Journal of Applied Mathematics |
| title | Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances |
| title_full | Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances |
| title_fullStr | Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances |
| title_full_unstemmed | Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances |
| title_short | Dynamic Analysis of the Nonlinear Chaotic System with Multistochastic Disturbances |
| title_sort | dynamic analysis of the nonlinear chaotic system with multistochastic disturbances |
| url | http://dx.doi.org/10.1155/2014/610816 |
| work_keys_str_mv | AT linglinggeng dynamicanalysisofthenonlinearchaoticsystemwithmultistochasticdisturbances AT yongguangyu dynamicanalysisofthenonlinearchaoticsystemwithmultistochasticdisturbances AT shuozhang dynamicanalysisofthenonlinearchaoticsystemwithmultistochasticdisturbances |