Synchronization and coupling of new second julia sets from the complex Gumowski–Mira map
Synchronization and coupling of new second julia sets from the complex Gumowski–Mira map
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DOI：
10.1080/23799927.2017.1339295
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发表时间：
2017-07
影响因子：
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通讯作者：
Ping Liu;Jialin Hou;Hongjun Song;Xiang Li
中科院分区：
文献类型：
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作者：
Ping Liu;Jialin Hou;Hongjun Song;Xiang Li
摘要给出了由复Gumowski-Mira映射生成新的第二Julia集的方法。讨论了不同参数对第二Julia集的影响，并分析了它们的性质。研究了两个不同的第二Julia集之间的同步和耦合，使得一个Julia集变为另一个Julia集，并且使得两个不同的Julia集最终变为同一个Julia集.数值模拟显示的变化的第二套不同的参数，并证明了实现同步和耦合的可行性。
ABSTRACT The generation of new second Julia sets from the complex Gumowski–Mira map is given. We discuss the effect of the second Julia set by taking different parameters and analyse their characteristics. The synchronization and coupling between two different second Julia sets are also addressed, which make one Julia set change to another and also make two different Julia sets change ultimately towards to the same one. Numerical simulations are presented to show changes of the second sets for different parameters and demonstrate the feasibility of achieving synchronization and coupling.