Geodesic
The loss of the property of reducibility by systems of linear differential equations with almost periodic coefficients
Matematičeskie zametki, Tome 8 (1970) no. 1, pp. 115-120.

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It is proved that among systems with almost periodic analytic coefficients (with an algebraic number as frequency base), there are systems which lose the property of reducibility on the boundary of some disk of values of the parameter. 
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     author = {I. N. Blinov},
     title = {The loss of the property of reducibility by systems of linear differential equations with almost periodic coefficients},
     journal = {Matemati\v{c}eskie zametki},
     pages = {115--120},
     publisher = {mathdoc},
     volume = {8},
     number = {1},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a12/}
}
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I. N. Blinov. The loss of the property of reducibility by systems of linear differential equations with almost periodic coefficients. Matematičeskie zametki, Tome 8 (1970) no. 1, pp. 115-120. http://geodesic.mathdoc.fr/item/MZM_1970_8_1_a12/