Analysis of Positive Measure Reducibility for Quasi-Periodic Linear Systems Under Brjuno-Russmann Condition
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Date
2022
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Amer inst Mathematical Sciences-aims
Open Access Color
GOLD
Green Open Access
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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.
Description
Keywords
Quasi-Periodic, Brjuno-Russmann Condition, Reducibility, Kam Method, FOS: Computer and information sciences, Bioinformatics, Spectral Theory of Differential Operators, Quantum mechanics, Database, QA1-939, FOS: Mathematics, kam method, brjuno-rüssmann condition, Biology, Mathematical Physics, Matrix Algorithms and Iterative Methods, Lambda, Omega, Physics, Statistical and Nonlinear Physics, Measure (data warehouse), reducibility, Computer science, Dynamical Systems, Physics and Astronomy, Computational Theory and Mathematics, Degeneracy (biology), Combinatorics, Physical Sciences, Computer Science, quasi-periodic, Characterization of Chaotic Quantum Dynamics and Structures, Mathematics
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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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
1
Source
AIMS Mathematics
Volume
7
Issue
5
Start Page
9373
End Page
9388
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Scopus : 0
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