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Matematicheskie Zametki, 2013, Volume 93, Issue 1, Pages 72–80
DOI: https://doi.org/10.4213/mzm10133 (Mi mzm10133) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Bohl's Argument Theorem

V. V. Kozlov

Steklov Mathematical Institute of the Russian Academy of Sciences
Full-text PDF (450 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm10133
Abstract: 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.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Received: 06.08.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 1, Pages 83–89
DOI: https://doi.org/10.1134/S0001434613010094
Bibliographic databases:
Document Type: Article
UDC: 517.518.6+531.01
Language: Russian
Citation: V. V. Kozlov, “On Bohl's Argument Theorem”, Mat. Zametki, 93:1 (2013), 72–80; Math. Notes, 93:1 (2013), 83–89
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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