Analysis of positive measure reducibility for quasi-periodic linear systems under Brjuno-Rüssmann condition
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Date
2022
Authors
Afzal, Muhammad
Ismaeel, Tariq
Ahmad, Riaz
Khan, İlyas
Baleanu, Dumitru
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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.
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Brjuno-R¨ussmann Condition, KAM Method, Quasi-Periodic, Reducibility
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Citation
Afzal, 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.
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AIMS Mathematics
Volume
7
Issue
5
Start Page
9373
End Page
9388