Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two problems on weighted shifts in linear dynamics   We show that an invertible bilateral weighted shift is strongly structurally
stable if and only if it has the shadowing property. We also exhibit a
K{\"o}the sequence space supporting a frequently hypercyclic weighted shift,
but no chaotic weighted shifts.

25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph