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Proceedings of the Institute of Mathematics of the NAS of Belarus, 2024, Volume 32, Number 1, Pages 64–73 (Mi timb384)  
DIFFERENTIAL EQUATIONS, DYNAMIC SYSTEMS AND OPTIMAL CONTROL

Relationship between components of a strongly irregular quasiperiodic solutions of the linear homogeneous algebraic system

A. K. Demenchuk

Institute of Mathematics of the National Academy of Sciences of Belarus, Minsk
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Abstract: We study a linear homogeneous algebraic system with the quasiperiodic matrix of coefficients for the existence strongly irregular quasiperiodic solution. If there is such a solution, then there is a linear relationship between its components. An algorithm for finding this dependence is given.
Keywords: linear algebraic system, quasiperiodic coefficients matrix, quasiperiodic solutions, strong irregular, components dependence.
Funding agency Grant number
ГПНИ "Конвергенция-2025" 1.2.05
Received: 02.02.2024
Revised: 20.03.2024
Accepted: 18.06.2024
Document Type: Article
UDC: 517.9
Language: Russian
Citation: A. K. Demenchuk, “Relationship between components of a strongly irregular quasiperiodic solutions of the linear homogeneous algebraic system”, Proceedings of the Institute of Mathematics of the NAS of Belarus, 32:1 (2024), 64–73
Citation in format AMSBIB
\Bibitem{Dem24}
\by A.~K.~Demenchuk
\paper Relationship between components of a strongly irregular quasiperiodic solutions of the linear homogeneous algebraic system
\jour Proceedings of the Institute of Mathematics of the NAS of Belarus
\yr 2024
\vol 32
\issue 1
\pages 64--73
\mathnet{http://mi.mathnet.ru/timb384}
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