  In this paper, we study a realistic model of quintessential inflation with
radiation and matter. By the analysis of the dynamical system and numerical
work about the evolution of the equation of state and cosmic density parameter,
we show that this model is a good match for the current astronomical
observation. The conclusion we obtain is in favor of the model where the
modular part of complex field plays the role of the inflaton whereas the
argument part is the quintessence field. The numerical calculation shows that a
heteroclinic orbit (solution of dynamical system) which interpolates between
early-time de Sitter phase (an unstable critical point) and a late-time de
Sitter attractor.
