引用本文:谢惠民.一维动力系统的复杂性分析[J].控制理论与应用,1999,16(S1):141~144.[点击复制]
Xie Huimin.A Complexity Analysis of One-Dimensional Dynamical Systems[J].Control Theory and Technology,1999,16(S1):141~144.[点击复制]
一维动力系统的复杂性分析
A Complexity Analysis of One-Dimensional Dynamical Systems
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DOI编号  
  1999,16(S1):141-144
中文关键词  一维动力系统  符号动力学  形式语言  复杂性
英文关键词  one-dimensional dynamical system  symbolic dynamics  formal language  complexity
基金项目  
作者单位
谢惠民 苏州大学数学科学学院 
中文摘要
      本文介绍用符号动力学和形式语言工具对一维动力系统的复杂性的研究情况,特别是关于在单峰映射生成语言中不存在上下文无关语言的猜测,介绍了最新进展,并对进一步的工作提出了设想.
英文摘要
      The study of complexity of one-dimensional dynamical systems by the tools of symbolic dynamics and formal languages is surveyed,the recent advances about the conjecture of non-existence of context-free languages by unimodal maps are presented.Some suggestions about further study are proposed.