Dynamical analysis in Chameleon dark energy

Understand

We present a detailed analysis of the phase-space for the field equations in scalar field cosmology with a chameleon cosmology in a spatially flat Friedmann--Lema\^{\i}tre--Robertson--Walker spacetime.

• For the matter source we assume that it is an ideal gas with a constant equation of state parameter, while for the scalar field potential and the coupling function of the chameleon mechanism we consider four different sets which provide four different models.
• We consider the $H$-normalization approach and we write the field equations with the help of dimensionless variables.
• The asymptotic solutions are determined from where we find that the theory can describe the main eras of cosmological history and evolution.