<p>In this paper, the exact chirped solutions, stability analysis, and chaotic dynamical behaviors of the higher-order complex cubic-quintic Ginzburg-Landau equation are investigated. Applying the complete discrimination system for polynomial method, we comprehensively analyze the global phase diagram structure of the dynamical system associated with the equation. Further, we obtain exact optical wave solutions with chirp characteristics, including solitary solutions, singular solutions, and the elliptic function double periodic solutions, and perform a systematic parametric stability analysis for each solution type. In addition, we find that the system exhibits chaotic behaviors under appropriate perturbations, which provides new theoretical insights into the complex dynamical behaviors of nonlinear pulse transmission in optical fiber communication systems.</p>