Cosmological solutions with time-delay

We introduce a time-delay function in bulk viscosity cosmology. Even for functions where closed-form solutions are known, because of the term exact lost. Therefore order to study cosmological evolution resulting models we perform detail analysis stability critical points, which describe de Sitter solutions, by using Lindstedt's method. find that points it depends also on parameter, value is found play role bifurcation point. For values near value, has periodic evolution, this oscillating behaviour function. new exponential expansion point, can be seen as an alternative way exit inflation.