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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
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.
Received: 06.08.2012
Citation:
V. V. Kozlov, “On Bohl's Argument Theorem”, Mat. Zametki, 93:1 (2013), 72–80; Math. Notes, 93:1 (2013), 83–89
Linking options:
https://www.mathnet.ru/eng/mzm10133https://doi.org/10.4213/mzm10133 https://www.mathnet.ru/eng/mzm/v93/i1/p72
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Abstract page: | 691 | Full-text PDF : | 218 | References: | 76 | First page: | 55 |
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