A highly chaotic fractional-order system with a four-wing attractor and its synchronization

被引:0
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作者
Mohammad Ebrahim Aghili
Khosro Khandani
Majid Parvizian
机构
[1] Arak University,Department of Electrical Engineering, Faculty of Engineering
[2] Tarbiat Modares University,School of Electrical and Computer Engineering
关键词
Four-wing attractor; Fractional-order chaotic system; High chaoticness; Sliding mode control; Synchronization;
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学科分类号
摘要
In this paper, a new four-wing attractor is reported in a fractional-order chaotic system. The chaoticness of the proposed system is investigated by obtaining Lyapunov exponents and compared with that of well-known chaotic systems in the literature. The findings reveal extremely high chaoticness of the introduced system which makes it a proper choice for encryption systems and secure communication. Furthermore, synchronization of the proposed system is studied in this paper. Sliding mode control has been used for this purpose and it is proven and illustrated that the synchronization error is asymptotically stable by employing the Lyapunov stability theorem.
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页码:1199 / 1207
页数:8
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