https://doi.org/10.1140/epjc/s10052-019-7299-x
Regular Article - Theoretical Physics
Bifurcations in Ratra–Peebles quintessence models and their extensions
1
Astronomical Observatory, Jagiellonian University, Orla 171, 30-244, Kraków, Poland
2
Mark Kac Complex Systems Research Centre, Jagiellonian University, ul. Łojasiewicza 11, 30-348, Kraków, Poland
* e-mail: marek.szydlowski@uj.edu.pl
Received:
23
January
2019
Accepted:
14
September
2019
Published online:
24
September
2019
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 de Sitter or the static Universe state and finishing at the de Sitter 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.
© The Author(s), 2019
