  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. Future attractors which describe
acceleration exist, however we found past acceleration solutions related to the
inflationary era, as also the radiation epoch and the matter dominated eras are
provided by the dynamics. We conclude that the Chameleon dark energy model can
be used as a unified model for the elements which contribute to the dark sector
of the universe.
