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Dynamics and chaos in the unified scalar field cosmology. II. System in a finite box

Acquaviva, G.; Lukes-Gerakopoulos, G.

We revisit the global dynamics of unified dark matter cosmological models and analyze it in a new dynamical system setting. In particular, by defining a suitable set of variables we obtain a bounded variable space, a feature that allows a better control of the critical elements of the system. First, we give a comprehensive cosmological interpretation of the critical points. Then, we turn our focus on particular representative trajectories with physically motivated initial conditions studied in the first paper of the series, and we discuss how the scale factor relates to the equation of state parameter.We review and complement these results in the light of the new variable approach by discussing the issue of whether the system is chaotic or not.
type:article
journal:Phys. Rev. D
volume:95
pages:043525
year:2017
eprint:arXiv:1611.01035
publisher:APS
grants:Albert Einstein Center for Gravitation and Astrophysics, GAČR 14-37086G; 2014-2018; hlavní řešitel: Jiří Bičák Centrum Alberta Einsteina pro gravitaci a astrofyziku
files:
phys.rev.d.95.043525_acquaviva.lukes-gerakopoulos.pdf (1190.05 kB)

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