Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Modified Chaplygin Gas in Brane World Scenario: Phase Plane
  Analysis   In this work we investigate the background dynamics when dark energy is
coupled to dark matter with a suitable interaction in the universe described by
brane cosmology. Here DGP and the RSII brane models have been considered
separately. Dark energy in the form of modified Chaplygin gas is considered. A
suitable interaction between dark energy and dark matter is considered in order
to at least alleviate (if not solve) the cosmic coincidence problem. The
dynamical system of equations is solved numerically and a stable scaling
solution is obtained. A significant attempt towards the solution of the cosmic
coincidence problem is taken. The statefinder parameters are also calculated to
classify the dark energy models. Graphs and phase diagrams are drawn to study
the variations of these parameters. It is also seen that the background
dynamics of modified Chaplygin gas is completely consistent with the notion of
an accelerated expansion in the late universe. Finally, it has been shown that
the universe in both the models follows the power law form of expansion around
the critical point, which is consistent with the known results.

9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th