文章基本信息

标题：A new chaotic behavior of a general model of the Henon map
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作者：Ahmed M. A. El-Sayed ; Zaki F. E. El-Raheem ; Sanaa M. Salman 等
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