Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bifurcations in Ratra-Peebles quintessence models and their extensions   We have used the dynamical system approach in order to investigate the
dynamics of cosmological models of the flat Universe with a non-minimally
coupled canonical and phantom scalar field and the Ratra-Peebles potential.
Applying methods of the bifurcation theory we have found three cases for which
the Universe undergoes a generic evolution emerging from either the deSitter or
the static Universe state and finishing at the deSitter state, without the
presence of the initial singularity. This generic class of solutions explains
both the inflation and the late-time acceleration of the Universe. In this
class inflation is an endogenous effect of dynamics itself.

7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph