Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Julia sets for Fibonacci endomorphisms of $\mathbb{C}^2$ and
  $\mathbb{R}^2$   We study the dynamics of the family $f_c(x, y)= (xy+c, x)$ of endomorphisms
of $\mathbb{R}^2$ and $\mathbb{C}^2$, where $c$ is a real or complex parameter.
Such maps can be seen as perturbations of the map $f_0(x,y)=(xy,x)$, which is a
complexification of the Anosov torus map $(u,v) \mapsto (u+v,u)$.

17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th