Geodesic
On Bohl's Argument Theorem
Matematičeskie zametki, Tome 93 (2013) no. 1, pp. 72-80

Voir la notice de l'article provenant de la source Math-Net.Ru

The classical Bohl argument theorem of a conditionally periodic function is generalized. Conditionally periodic motions on a torus are replaced by the solutions of a nonlinear system of differential equations with invariant measure. Cases in which this system is assumed ergodic or strictly ergodic are considered.
Keywords: Bohl's argument theorem, conditionally periodic motion on the $n$-dimensional torus, (strictly) ergodic system of differential equations, uniformly distributed function, Birkhoff–Khinchine ergodic theorem. 
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     author = {V. V. Kozlov},
     title = {On {Bohl's} {Argument} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_93_1_a6/}
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V. V. Kozlov. On Bohl's Argument Theorem. Matematičeskie zametki, Tome 93 (2013) no. 1, pp. 72-80. http://geodesic.mathdoc.fr/item/MZM_2013_93_1_a6/