Rectification of integral curves of a~system of differential equations on an infinite-dimensional torus
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 181-183

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The result of V. J. Arnold on rectification of trajectories on $n$-dimensional torus is extended to the infinite-dimensional case. Almost periodic in time perturbations with infinite number of frequencies are also considered.
@article{ZNSL_1984_138_a11,
     author = {D. A. Tarkhov},
     title = {Rectification of integral curves of a~system of differential equations on an infinite-dimensional torus},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {181--183},
     publisher = {mathdoc},
     volume = {138},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a11/}
}
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D. A. Tarkhov. Rectification of integral curves of a~system of differential equations on an infinite-dimensional torus. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 181-183. http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a11/