Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperbolicity of renormalization of circle maps with a break-type
  singularity   We study the renormalization operator of circle homeomorphisms with a break
point and show that it possesses a hyperbolic horseshoe attractor.

32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio