Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cosmological dynamics of interacting dark energy and dark matter in
  viable models of f(R) gravity   In this work, we investigate the dynamics of the interacting dark energy and
dark matter in viable models of $f(R)$ gravity by using a standard framework of
dynamical system analysis. A simple form of the interacting dark energy
$Q=3\alpha H\rho_{m}$ is used to study three viable models of $f(R)$ gravity
which are consistent with local gravity constraints and satisfying conditions
for the cosmological viability. As a result, we find that the fixed points are
slightly modified from those obtained in the standard non-interacting analysis
of $f(R)$ gravity proposed so far in the literature. In our models of adding
this interaction, we find that the dynamical profiles of the universe in the
viable $f(R)$ dark energy models are modified by the interaction term as well
as their relevant model parameters. Moreover, our results yield the correct
cosmological evolution with additional constraint parameter, $\alpha$, from the
interacting dark energy.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th