Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tricomplex dynamical systems generated by polynomials of odd degree   In this article, we give the exact interval of the cross section of the
Multibrot sets generated by the polynomial $z^p+c$ where $z$ and $c$ are
complex numbers and $p > 2$ is an odd integer. Furthermore, we show that the
same Multibrots defined on the hyperbolic numbers are always squares. Moreover,
we give a generalized 3D version of the hyperbolic Multibrot set and prove that
our generalization is an octahedron for a specific 3D slice of the dynamical
system generated by the tricomplex polynomial $\eta^p+c$ where $p > 2$ is an
odd integer.

17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
18
The categories of this paper are: econ
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio