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  • 标题:A new chaotic behavior of a general model of the Henon map
  • 本地全文:下载
  • 作者:Ahmed M. A. El-Sayed ; Zaki F. E. El-Raheem ; Sanaa M. Salman
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:107
  • DOI:10.1186/1687-1847-2014-107
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper we are concerned with a general form of the Henon map as a retarded functional equation. The existence of a unique solution is proved. The continuous dependence of the solution and the local stability of fixed points are investigated. Chaos, bifurcation and chaotic attractor of the resulting system are discussed. In addition, we compare our results with the discrete dynamical system of the Henon map.
  • 关键词:retarded functional equation ; Henon map ; fixed points ; existence ; uniqueness ; bifurcation ; chaos ; chaotic attractor
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