变参数离散Li-Yorke混沌系统及其渐近周期点的存在

journal6 ›› 2009, Vol. 30 ›› Issue (1): 23-26.

变参数离散Li-Yorke混沌系统及其渐近周期点的存在

（西北大学数学系，陕西西安 710127）

出版日期:2009-01-25 发布日期:2012-04-27
作者简介:朱熙（1982-），男，山西高平人，西北大学硕士研究生，主要从事拓扑动力系统研究.

Variable-Parametric Discrete Li-Yorke Chaotic Systems and the Existence of Asymptotic Periodic Point

(Department of Mathematics,Northwest University,Xi’an 710069,China)

Online:2009-01-25 Published:2012-04-27

摘要/Abstract

摘要：运用分析的方法，得到了变参数离散广义Devaney混沌系统在Li-Yorke意义下也是混沌的，且构造出了一些新的变参数离散混沌系统.进一步探讨了渐近周期点在该系统下的存在性，扩展了离散混沌系统的研究范围.

关键词： 变参数, Li-Yorke混沌, Devaney混沌, 渐近周期点

Abstract: It is proved that variable-parametric discrete Devaney chaotic systems is also chaotic in the sense of Li-Yorke,and several new variable-parametric chaotic systems are introduced.After that the authors study the existence of its asymptotic periodic point.These results futher extend the scope of the research on discrete chaotic systems.

Key words: variable parameter, Li-Yorke chaos, Devaney chaos, asymptotic periodic point

朱熙, 花秀娟. 变参数离散Li-Yorke混沌系统及其渐近周期点的存在[J]. journal6, 2009, 30(1): 23-26.

ZHU Xi, HUA Xiu-Juan. Variable-Parametric Discrete Li-Yorke Chaotic Systems and the Existence of Asymptotic Periodic Point[J]. journal6, 2009, 30(1): 23-26.

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