Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization in Lorenz maps -- completely invariant sets and periodic
  orbits   The paper deals with dynamics of expanding Lorenz maps, which appear in a
natural way as Poincar\`e maps in geometric models of well known Lorenz
attractor. We study connections between periodic points, completely invariant
sets and renormalizations. We show that in general, renormalization cannot be
fully characterized by a completely invariant set, however there are various
situations when such characterization is possible. This way we provide a better
insight into the structure of renormalizations in Lorenz maps, correcting some
gaps existing in the literature and completing to some extent the description
of possible dynamics in this important field of study.

32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con