Dynamics Analysis and Control of a Five-Term Fractional-Order System
This paper proposes a new fractional-order chaotic system with five terms. Firstly, basic dynamical properties of the fractional-order system are investigated in terms of the stability of equilibrium points, Jacobian matrices theoretically. Furthermore, rich dynamics with interesting characteristics...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/8284121 |
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| _version_ | 1832556077111050240 |
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| author | Li-xin Yang Xiao-jun Liu |
| author_facet | Li-xin Yang Xiao-jun Liu |
| author_sort | Li-xin Yang |
| collection | DOAJ |
| description | This paper proposes a new fractional-order chaotic system with five terms. Firstly, basic dynamical properties of the fractional-order system are investigated in terms of the stability of equilibrium points, Jacobian matrices theoretically. Furthermore, rich dynamics with interesting characteristics are demonstrated by phase portraits, bifurcation diagrams numerically. Besides, the control problem of the new fractional-order system is discussed via numerical simulations. Our results demonstrate that the new fractional-order system has compound structure. |
| format | Article |
| id | doaj-art-90b099a8ba654169b7c91a42c2b586f5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-90b099a8ba654169b7c91a42c2b586f52025-02-03T05:46:31ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/82841218284121Dynamics Analysis and Control of a Five-Term Fractional-Order SystemLi-xin Yang0Xiao-jun Liu1School of Arts and Sciences, Shaanxi University of Science and Technology, Xi’an 710021, ChinaSchool of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, ChinaThis paper proposes a new fractional-order chaotic system with five terms. Firstly, basic dynamical properties of the fractional-order system are investigated in terms of the stability of equilibrium points, Jacobian matrices theoretically. Furthermore, rich dynamics with interesting characteristics are demonstrated by phase portraits, bifurcation diagrams numerically. Besides, the control problem of the new fractional-order system is discussed via numerical simulations. Our results demonstrate that the new fractional-order system has compound structure.http://dx.doi.org/10.1155/2018/8284121 |
| spellingShingle | Li-xin Yang Xiao-jun Liu Dynamics Analysis and Control of a Five-Term Fractional-Order System Discrete Dynamics in Nature and Society |
| title | Dynamics Analysis and Control of a Five-Term Fractional-Order System |
| title_full | Dynamics Analysis and Control of a Five-Term Fractional-Order System |
| title_fullStr | Dynamics Analysis and Control of a Five-Term Fractional-Order System |
| title_full_unstemmed | Dynamics Analysis and Control of a Five-Term Fractional-Order System |
| title_short | Dynamics Analysis and Control of a Five-Term Fractional-Order System |
| title_sort | dynamics analysis and control of a five term fractional order system |
| url | http://dx.doi.org/10.1155/2018/8284121 |
| work_keys_str_mv | AT lixinyang dynamicsanalysisandcontrolofafivetermfractionalordersystem AT xiaojunliu dynamicsanalysisandcontrolofafivetermfractionalordersystem |