When is the beginning the end? On full trajectories, limit sets and internal chain transitivity
نویسندگان
چکیده
Let f:X?X be a continuous map on compact metric space X and let ?f, ?f ICTf denote the set of ?-limit sets, ?-limit sets nonempty closed internally chain transitive respectively. In this paper we characterise, by introducing novel variants shadowing, maps for which every element is equal to (resp. may approximated by) same full trajectory. We construct examples highlighting difference between these properties.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2022
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2021.107934