Geodesic
An example of a continuous flow on the torus with mixed spectrum
Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 235-240 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper an example is constructed of a flow on the torus $\dot x=\alpha F(x,y)$, $\dot y=F(x,y)$, $x$, $y\bmod1$, with continuous $F>0$ and irrational $\alpha$ which has a mixed spectrum. 
@article{MZM_1974_15_2_a7,
     author = {A. B. Krygin},
     title = {An example of a~continuous flow on the torus with mixed spectrum},
     journal = {Matemati\v{c}eskie zametki},
     pages = {235--240},
     year = {1974},
     volume = {15},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a7/}
}
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A. B. Krygin. An example of a continuous flow on the torus with mixed spectrum. Matematičeskie zametki, Tome 15 (1974) no. 2, pp. 235-240. http://geodesic.mathdoc.fr/item/MZM_1974_15_2_a7/