Geodesic
On the convergence of dynamic quasi-periodic systems
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 1, pp. 79-86

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The convergence problem for non-autonomous systems of differential equations with a quasi-periodic right-hand side in an independent argument is considered. It is proposed to replace the consideration of the set of solutions of the system of differential equations under consideration by considering the movements of a dynamic quasi-periodic system generated by these differential equations. Necessary and sufficient conditions are obtained when a dynamic quasi-periodic system has the convergence property, and a proof is given.
Mots-clés : convergence
Keywords: dynamic quasi-periodic system, quasi-periodic motion. 
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     author = {S. A. Strekopytov and M. V. Strekopytova},
     title = {On the convergence of dynamic quasi-periodic systems},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {79--86},
     publisher = {mathdoc},
     volume = {18},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a5/}
}
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S. A. Strekopytov; M. V. Strekopytova. On the convergence of dynamic quasi-periodic systems. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 18 (2022) no. 1, pp. 79-86. http://geodesic.mathdoc.fr/item/VSPUI_2022_18_1_a5/