Attractors with non-invariant interior

2023/05/15 by Minkov, Stanislav, Okunev, Alexey, Shilin, Ivan
#37C20 #37C70 #37D30 #37E30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.08582

Abstract

We construct an open set of endomorphisms of an arbitrary two-dimensional manifold which have attractors and non-wandering sets with non-invariant interior. This is a notable contrast to the properties of diffeomorphisms, where the interior must be invariant.

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