Electronic Journal of Differential Equations, Vol. 2004(2004), No. 43, pp. 1-12. Title: Reducibility of zero curvature equations Author: Ruben Flores-Espinoza (Univ. de Sonora, Hermosillo, Mexico) Abstract: By introducing a natural reducibility definition for zero curvature equations, we give a Floquet representation for such systems and show applications to the reducibility problem for quasiperiodic 2-dimensional linear systems and to fiberwise linear dynamical systems on trivial vector bundles. Submitted November 26, 2003. Published March 24, 2004. Math Subject Classifications: 34A30, 34A26, 34C20, 37C55. Key Words: Zero-curvature equation; reducibility; Floquet representation; quasiperiodic linear systems; fiberwise linear dynamical system.