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

Afzal, MuhammadBaleanu, DumitruIsmaeel, TariqAhmad, RiazKhan, IlyasBaleanu, DumitruMatematik2024-02-292024-02-292022Afzal, 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.2022520In 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-Rüssmann conditionAnalysis of Positive Measure Reducibility for Quasi-Periodic Linear Systems Under Brjuno-Russmann ConditionArticle759373938810.3934/math.20225202-s2.0-85129823956WOS:000770060600003Q1Q1