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.