Geodesic
Lower bounds for the upper Lyapunov exponent in one-parameter families of Millionshchikov systems
Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 171-177

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For a special class of two-dimensional differential systems of the form $\dot {x}=(A(t)+\mu B(t))x$, in particular, the Lyapunov improper almost periodic systems constructed by V. M. Millionshchikov, it is shown that the upper characteristic exponent $\lambda_2(A + \mu B)$ is positive for all $\mu$ from a set of positiv Lebesgue measure. 
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     author = {A. V. Lipnitskii},
     title = {Lower bounds for the upper {Lyapunov} exponent in one-parameter families of {Millionshchikov} systems},
     journal = {Trudy Seminara im. I.G. Petrovskogo},
     pages = {171--177},
     publisher = {mathdoc},
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     number = {30},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a8/}
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A. V. Lipnitskii. Lower bounds for the upper Lyapunov exponent in one-parameter families of Millionshchikov systems. Trudy Seminara im. I.G. Petrovskogo, Trudy Seminara imeni I. G. Petrovskogo, Tome 30 (2014) no. 30, pp. 171-177. http://geodesic.mathdoc.fr/item/TSP_2014_30_30_a8/