Cherry flows with non trivial attractors

Published 20 Sep 2015 in math.DS | (1509.05994v3)

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

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Liviana Palmisano

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