On reducibility of linear quasiperiodic systems with bounded solutions
V. I. Tkachenko · 1999
It is proved that nonreducible systems form a dense Gδ subset in the space of systems of linear differential equations with quasiperiodic skew-symmetric matrices and fix frequency module. There exists an open set of nonreducible systems in this space. AMS Subject Classification: 34C27, 34A30 1. Introduction. We consider a linear quasiperiodic system of differential equations dx dt = A(ϕ · t)x, (1)