Analysis of Positive Measure Reducibility for Quasi-Periodic Linear Systems Under Brjuno-Russmann Condition

Ismaeel, TariqAhmad, RiazKhan, IlyasBaleanu, DumitruAfzal, Muhammad02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-02-292025-09-182024-02-292025-09-182022Afzal, Muhammad;...et.al. (2022). "Analysis of positive measure reducibility for quasi-periodic linear systems under Brjuno-Rüssmann condition", AIMS Mathematics, Vol.7, No.5, pp.9373-9388.2473-6988https://doi.org/10.3934/math.2022520https://hdl.handle.net/123456789/12760In this article, we discuss the positive measure reducibility for quasi-periodic linear systems close to a constant which is defined as: dx/dt = (A(lambda) + Q(phi, lambda))x, (phi) over dot = omega, where omega is a Brjuno vector and parameter lambda is an element of (a, b). The result is proved by using the KAM method, Brjuno-Russmann condition, and non-degeneracy condition.eninfo:eu-repo/semantics/openAccessQuasi-PeriodicBrjuno-Russmann ConditionReducibilityKam MethodAnalysis of Positive Measure Reducibility for Quasi-Periodic Linear Systems Under Brjuno-Russmann ConditionAnalysis of positive measure reducibility for quasi-periodic linear systems under Brjuno-Rüssmann conditionArticle10.3934/math.20225202-s2.0-85129823956