Geodesic
Topological and ergodic properties of closed 1-forms with incommensurable periods
Funkcionalʹnyj analiz i ego priloženiâ, Tome 25 (1991) no. 2, pp. 1-12.

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V. I. Arnol'd. Topological and ergodic properties of closed 1-forms with incommensurable periods. Funkcionalʹnyj analiz i ego priloženiâ, Tome 25 (1991) no. 2, pp. 1-12. http://geodesic.mathdoc.fr/item/FAA_1991_25_2_a0/

[1] Denjoy, “Sur les courbes definies par les equations differentieUes a la surface du tore”, J. Math. Pure Appl., 11:4 (1932), 333–375 | MR

[2] Kolmogorov A.H., “O dinamicheskikh sistemakh s integralnym invariantom na tore”, DAN SSSR, 93:5 (1953), 763–766 | MR | Zbl

[3] Kochergip A.V., “Nevyrozhdennye sedla i otsutstvie peremeshivaniya”, Mat. zametki, 19:3 (1976), 453–468 | MR

[4] Blokhin A.A., “Gladkie ergodicheskie potoki”, Tr. MMO, 27, 1972, 113–128 | Zbl