Is the Henon attractor chaotic?

被引：21

作者：

Galias, Zbigniew ^{[1
]}

Tucker, Warwick ^{[2
]}

机构：

[1] AGH Univ Sci & Technol, Dept Elect Engn, PL-30059 Krakow, Poland

[2] Uppsala Univ, Dept Math, S-75106 Uppsala, Sweden

来源：

CHAOS | 2015年 / 25卷 / 03期

基金：

瑞典研究理事会;

关键词：

PERIODIC-ORBITS; MAP; DYNAMICS;

D O I：

10.1063/1.4913945

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By performing a systematic study of the Henon map, we find low-period sinks for parameter values extremely close to the classical ones. This raises the question whether or not the well-known Henon attractor-the attractor of the Henon map existing for the classical parameter values-is a strange attractor, or simply a stable periodic orbit. Using results from our study, we conclude that even if the latter were true, it would be practically impossible to establish this by computing trajectories of the map. (C) 2015 AIP Publishing LLC.

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页数：12

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