Abstract
We study the cosmological evolution of two coupled scalar fields with an arbitrary interaction term VT(ϕ,φ) in the presence of a barotropic fluid, which can be matter or radiation. The force between the barotropic fluid and the scalar fields is only gravitational. We show that the dynamics is completely determined by only three parameters λi,i = 1,2,3. We determine all critical points and study their stability. We find six different attractor solutions depending on the values of λi and we calculate the relevant cosmological parameters. We discuss the possibility of having one of the scalar fields as of dark energy while the other could be a scalar field redshifting as matter.