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Cherry flows with non-trivial attractors
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2019 (English)In: Fundamenta Mathematicae, ISSN 0016-2736, E-ISSN 1730-6329, Vol. 244, no 3, p. 243-253Article in journal (Refereed) Published
Abstract [en]

We provide an example of a Cherry flow (i.e. a C-infinity flow on the 2-dimensional torus with a sink and a saddle) having a quasi-minimal set which is an attractor. The first return map for such a flow, also constructed in the paper, is a C-infinity circle map having a flat interval and a non-trivial wandering interval.

Place, publisher, year, edition, pages
POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN , 2019. Vol. 244, no 3, p. 243-253
Keywords [en]
Denjoy counterexample, Cherry flows, attractor, quasi-minimal set
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:uu:diva-373309DOI: 10.4064/fm531-3-2018ISI: 000454112000002OAI: oai:DiVA.org:uu-373309DiVA, id: diva2:1279437
Available from: 2019-01-16 Created: 2019-01-16 Last updated: 2019-01-16Bibliographically approved

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