On the Floquet problem for quasiperiodic systems

Abstract:

The problem of reducing $\dot x = A(t)x$, where $A(t)$ is a quasiperiodic $n \times n$ matrix, to a system with constant coefficients is studied by means of an associated linear partial differential equation. A necessary and sufficient condition is given which, while not always computable, appears to provide a new approach to this classical problem.