Analysis of positive measure reducibility for quasi-periodic linear systems under Brjuno-Rüssmann condition
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Date
2022
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Amer inst Mathematical Sciences-aims
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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: 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.
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Keywords
Quasi-Periodic, Brjuno-Russmann Condition, Reducibility, Kam Method
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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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Q1
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Q1
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Volume
7
Issue
5
Start Page
9373
End Page
9388