Yet another four-dimensional chaotic system with multiple coexisting attractors

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• 作者：Yun He^a ; Hui-Ming Xu^b ; ^{heiyingmen@163.com}
• 关键词：Chaotic system ; Coexisting attractors ; Feedback control ; Simulation
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：132
• 期：Complete
• 页码：24-31
• 全文大小：2570 K
• 卷排序：132

文摘

The study of nonlinear system with coexisting chaotic attractors is of recent interest. In this letter, we introduce a new four-dimensional chaotic system with coexisting attractors. The system has three quadratic nonlinearities and only one unstable fixed point. Basic dynamics of the system are analyzed, including dissipativity, equilibria, etc. The coexisting attractors in the system is investigated by numerical simulation. The control problem of the system is also considered. By using an ordinary feedback controller and a speed feedback controller, the chaotic behavior of the system can be well suppressed.