一类特殊映射的分布混沌  

Distributional Chaos of a Kind of Special Map

作　　者：楚振艳[1] 林红 

机构地区：[1]大连民族学院理学院,辽宁大连116605 [2]前郭县教育局,吉林松原138000

出　　处：《大连民族学院学报》2013年第1期60-63,共4页Journal of Dalian Nationalities University

基　　金：中央高校基本科研业务费专项资金资助项目(DC110326)

摘　　要：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。利用构造的方法,借助于单边符号空间中转移自映射σ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。In this paper, 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 complex- ity. In addition, chaos is a 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. Cha- os in the sense of Li - Yorke and distributional chaos are relatively common. Through the con- struction of the method and with the help of the distributional chaos for the shift tr on the one - sided symbolic space, we prove that the map is a kind of distributional chaos, moreover, it is chaotic in the sense of Li - Yorke.

关 键 词：分布混沌 符号空间 移位 

分 类 号：O189[理学—数学]