Differential equations with almost periodic or conditionally periodic coefficients: Recurrence and reducibility
Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 229-237

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Recurrence of an individual trajectory of a linear nonautonomous differential equation on a compact Lie group for the case of an almost periodic or conditionally periodic dependence of the right-hand side on time is proved. The relation between recurrence and reducibility is examined.
@article{MZM_1998_64_2_a9,
     author = {N. G. Moshchevitin},
     title = {Differential equations with almost periodic or conditionally periodic coefficients: {Recurrence} and reducibility},
     journal = {Matemati\v{c}eskie zametki},
     pages = {229--237},
     publisher = {mathdoc},
     volume = {64},
     number = {2},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_64_2_a9/}
}
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N. G. Moshchevitin. Differential equations with almost periodic or conditionally periodic coefficients: Recurrence and reducibility. Matematičeskie zametki, Tome 64 (1998) no. 2, pp. 229-237. http://geodesic.mathdoc.fr/item/MZM_1998_64_2_a9/