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Strongly distributional chaos in the sets of twelve different types of non-recurrent points (2205.13203v1)
Published 26 May 2022 in math.DS
Abstract: In present paper we mainly focus on non-recurrent dynamical orbits with empty syndetic center and show that twelve different statistical structures over mixing expanding maps or transitive Anosov diffeomorphisms all have dynamical complexity in the sense of strongly distributional chaos.