Coexisting attractors generated from a new 4D smooth chaotic system

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• 作者：Qiang Lai ; Shiming Chen
• 刊名：International Journal of Control, Automation and Systems
• 出版年：2016
• 出版时间：August 2016
• 年：2016
• 卷：14
• 期：4
• 页码：1124-1131
• 全文大小：2,252 KB
• 刊物类别：Engineering
• 刊物主题：Control Engineering
  
• 出版者：The Institute of Control, Robotics and Systems Engineers and The Korean Institute of Electrical Engi
• ISSN：2005-4092
• 卷排序：14

文摘

In this paper, a new 4D smooth chaotic system with coexisting attractors is proposed. The coexisting attractors which means two or more attractors generate simultaneously from different initial values is an important nonlinear dynamics. It is found that the new system is rich in coexisting attractors by numerical simulation. Detailed investigation of the coexisting chaotic attractors, coexisting chaotic and periodic attractors, coexisting chaotic and point attractors, coexisting periodic and point attractors in the system are presented. It is shown that the system may coexist four independent attractors by selecting appropriate parameters and initial values.KeywordsChaotic systemcoexisting attractorsequilibriainitial value