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大连民族学院学报 2013, Vol. 15 Issue (01) :60-63    DOI:
物理与数学 最新目录 | 下期目录 | 过刊浏览 | 高级检索 << Previous Articles | Next Articles >>
一类特殊映射的分布混沌
楚振艳
大连民族学院
Distributional Chaos of a kind of Special Map
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摘要  本文研究了区间上一类特殊映射的混沌性,该映射在数字信号处理和混沌控制中是一个很好 的处理问题的工具。文中利用构造的方法,借助于单边符号空间中转移自映射 的分布混沌性,证明了该映射是分布混沌的,进而也是Li-Yorke混沌的.
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楚振艳
关键词分布混沌   符号空间   移位   distributional chaos    symbolic space   shift      
Abstract: We discuss the chaotic behavior of a kind of special map on an interval. The map is a good tool to approach problems in practice, such as digital signal processing and chaos control. To use the map for solving problems better, it is necessary to discuss its complexity. In addition, chaos is an useful concept in describing the complexity of a system. The best feature of chaotic system is that the evolution of the system is sensitive to initial conditions. Chaos in the sense of Li-Yorke and distributional chaos are relatively common. Through the method of construction and with the help of the distributional chaos for the shift on the one-sided symbolic space, we prove that the map is distributively chaotic , moreover, it is chaotic in the sense of Li-Yorke.
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收稿日期: 2012-07-15; 出版日期: 2013-06-26
通讯作者 楚振艳     Email: chuzhenyan8@163.com
引用本文:   
楚振艳 .一类特殊映射的分布混沌[J]  .大连民族学院学报, 2013,15(01): 60-63
CHU Zhen-Yan .Distributional Chaos of a kind of Special Map[J]  .Journal of Dalian Nationalities University, 2013,15(01): 60-63
链接本文:  
http://xb.dlnu.edu.cn/CN/     或     http://xb.dlnu.edu.cn/CN/Y2013/V15/I01/60
 
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