Is the Hénon attractor chaotic?

Zbigniew Galias, Warwick Tucker

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9 Citations (Scopus)

Abstract

By performing a systematic study of the Hénon 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 Hénon attractor-the attractor of the Hénon 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.

Original languageEnglish
Article number033102
Number of pages12
JournalChaos: An Interdisciplinary Journal of Nonlinear Science
Volume25
Issue number3
DOIs
Publication statusPublished - 5 Mar 2015
Externally publishedYes

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