Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: When is the beginning the end? On full trajectories, limit sets and
  internal chain transitivity   Let $f \colon X \to X$ be a continuous map on a compact metric space $X$ and
let $\alpha_f$, $\omega_f$ and $ICT_f$ denote the set of $\alpha$-limit sets,
$\omega$-limit sets and nonempty closed internally chain transitive sets
respectively. In this paper we characterise, by introducing novel variants of
shadowing, maps for which every element of $ICT_f$ is equal to (resp. may be
approximated by) the $\alpha$-limit set and the $\omega$-limit set of the same
full trajectory. We construct examples highlighting the difference between
these properties.

29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat