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Is the Hénon attractor chaotic?
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Applied Mathematics and Statistics.
2015 (English)In: Chaos, ISSN 1054-1500, E-ISSN 1089-7682, Vol. 25, no 3, 033102Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2015. Vol. 25, no 3, 033102
National Category
Mathematics Physical Sciences
Identifiers
URN: urn:nbn:se:uu:diva-252237DOI: 10.1063/1.4913945ISI: 000352314600003PubMedID: 25833424OAI: oai:DiVA.org:uu-252237DiVA: diva2:809921
Available from: 2015-05-05 Created: 2015-05-04 Last updated: 2017-12-04Bibliographically approved

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