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On the structure of existence regions for sinks of the Henon map
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Chaos, ISSN 1054-1500, E-ISSN 1089-7682, Vol. 24, no 1, 013120- p.Article in journal (Refereed) Published
Abstract [en]

An extensive search for stable periodic orbits (sinks) for the Henon map in a small neighborhood of the classical parameter values is carried out. Several parameter values which generate a sink are found and verified by rigorous numerical computations. Each found parameter value is extended to a larger region of existence using a simplex continuation method. The structure of these regions of existence is investigated. This study shows that for the Henon map, there exist sinks close to the classical case.

Place, publisher, year, edition, pages
2014. Vol. 24, no 1, 013120- p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-224925DOI: 10.1063/1.4865110ISI: 000334181700020OAI: oai:DiVA.org:uu-224925DiVA: diva2:720107
Funder
Swedish Research Council, 2005-3152
Available from: 2014-05-28 Created: 2014-05-23 Last updated: 2017-12-05Bibliographically approved

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Tucker, Warwick

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