Analysis of positive measure reducibility for quasi-periodic linear systems under Brjuno-Rüssmann condition

Abstract

In this article, we discuss the positive measure reducibility for quasi-periodic linear systems close to a constant which is defined as: Where ω is a Brjuno vector and parameter λ ∈ (a; b). The result is proved by using the KAM method, Brjuno-Rüssmann condition, and non-degeneracy condition.