PDF files of articles are only available for institutions which have paid for the online version upon signing an Institutional User License.

Cherry flows with non-trivial attractors

Volume 244 / 2019

Liviana Palmisano Fundamenta Mathematicae 244 (2019), 243-253 MSC: 37E10, 37E35. DOI: 10.4064/fm531-3-2018 Published online: 12 October 2018


We provide an example of a Cherry flow (i.e. a ${{\mathcal C}^\infty }$ 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 ${{\mathcal C}^\infty }$ circle map having a flat interval and a non-trivial wandering interval.


  • Liviana PalmisanoUppsala University
    Uppsala, Sweden

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image