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  • 标题:Bifurcation analysis of the Henon map
  • 本地全文:下载
  • 作者:Erik Mosekilde ; Zhanybai T. Zhusubaliyev ; Vadim N. Rudakov
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2000
  • 卷号:5
  • DOI:10.1155/S1026022600000534
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Division of the parameter plane for the two-dimensional Hénon mapping into domains of periodic and chaotic oscillations is studied numerically and analytically. Regularities in the occurrence of different motions and transitions are analyzed. It is shown that there are domains in the plane of parameters, where non-uniqueness of motions exists. This may lead to abrupt changes of the character of the dynamics under variation in the parameters, that is, to a sudden transition from one stable cycle to another or to chaotization of the oscillations.
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