The set of nonlinear differential equations describing the intrinsic photoconductivity process is examined by numerical methods for realistic values of the parameters of the traps in the presence of high-intensity radiation. For a given set of initial conditions, the presence of a fixed-point attractor was observed. The position of the center of the attractor in phase space was determined by searching for a stable point of the nonlinear system of differential equations. The phase diagram also shows a Ro\ifmmode\ddot\else\textasciidieresis\fi{}ssler-like attractor. The power spectrum reveals that the system shifts from a Ro\ifmmode\ddot\else\textasciidieresis\fi{}ssler-like attractor to a fixed-point attractor in a chaotic manner. As expected, it is found that the system is very sensitive to the initial conditions.