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  • 标题:Existence of chaos for a simple delay difference equation
  • 本地全文:下载
  • 作者:Zongcheng Li ; Xiaoying Zhu
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:39
  • DOI:10.1186/s13662-015-0374-1
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we study the existence of chaos for a simple delay difference equation. By using the snap-back repeller theory, we prove that the system is chaotic in the sense of both Devaney and Li-Yorke when the parameters of this system satisfy some mild conditions. For illustrating the theoretical result, we give two computer simulations.
  • 关键词:delay ; snap-back repeller ; chaos in the sense of Devaney ; chaos in the sense of Li-Yorke
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