Stanislav Minkov, Alexey Okunev, Ivan Shilin, “Attractors with non-invariant interior”, Mosc. Math. J., 2023, Volume 23, Number 4,Pages <nobr>559

Attractors with non-invariant interior

Stanislav Minkov^a, Alexey Okunev^b, Ivan Shilin^c

^a Brook Institute of Electronic Control Machines, Moscow, Russia
^b Pennsylvania State University, State College, PA, USA
^c HSE University, Moscow, Russia

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.

Key words and phrases: attractors, Milnor attractor, dynamics of endomorphisms.

MSC: 37C70, 37C20, 37E30, 37D30

Language: English