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

Afzal, MuhammadIsmaeel, TariqAhmad, RiazKhan, İlyasBaleanu, Dumitru2024-02-292024-02-292022Afzal, 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.9373-9388.24736988http://hdl.handle.net/20.500.12416/7373In 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.eninfo:eu-repo/semantics/openAccessBrjuno-R¨ussmann ConditionKAM MethodQuasi-PeriodicReducibilityAnalysis of positive measure reducibility for quasi-periodic linear systems under Brjuno-Rüssmann conditionAnalysis of Positive Measure Reducibility for Quasi-Periodic Linear Systems Under Brjuno-Rüssmann ConditionArticle759373938810.3934/math.2022520